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Twizell, E. H.

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Author ID: twizell.e-h Recent zbMATH articles by "Twizell, E. H."
Published as: Twizell, E. H.
Documents Indexed: 137 Publications since 1975, including 4 Books
all top 5

Serials

21 International Journal of Computer Mathematics
11 Applied Mathematics and Computation
10 Journal of Computational and Applied Mathematics
7 Computer Methods in Applied Mechanics and Engineering
6 Communications in Applied Numerical Methods
6 Numerical Methods for Partial Differential Equations
6 Applied Mathematical Modelling
6 Communications in Numerical Methods in Engineering
4 Applied Mathematics Letters
3 Mathematical Biosciences
3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3 Advances in Computational Mathematics
3 Parallel Algorithms and Applications
3 The Korean Journal of Computational & Applied Mathematics
2 Journal of Engineering Mathematics
2 Journal of Sound and Vibration
2 Chaos, Solitons and Fractals
2 Information Sciences
2 Mathematics and Computers in Simulation
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics. Series B (English Edition)
2 Journal of Mathematical Chemistry
2 Journal of Applied Mathematics and Computing
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 Journal of the Australian Mathematical Society, Series B
1 Journal of the Institute of Mathematics and its Applications
1 Journal of Mathematical Analysis and Applications
1 Applied Mathematics Notes
1 BIT
1 The Computer Journal. Section A / Section B
1 International Journal for Numerical Methods in Engineering
1 Kybernetes
1 Numerical Mathematics
1 Physica D
1 IMA Journal of Mathematics Applied in Medicine and Biology
1 Journal of Physics A: Mathematical and General
1 Applied Mathematics. Series A (Chinese Edition)
1 Journal of Difference Equations and Applications
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Textos de Matemática. Série B
1 Arab Gulf Journal of Scientific Research, A

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 1,276 times in 847 Documents Cited by Year
The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions. Zbl 0941.65073
Çaglar, H. N.; Çaglar, S. H.; Twizell, E. H.
56
1999
The numerical solution of third-order boundary-value problems with fourth-degree \(B\)-spline functions. Zbl 0929.65048
Caglar, H. N.; Caglar, S. H.; Twizell, E. H.
54
1999
Numerical solutions of a damped sine-Gordon equation in two space variables. Zbl 0841.65083
Djidjeli, K.; Price, W. G.; Twizell, E. H.
50
1995
Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems. Zbl 0722.65042
Twizell, E. H.; Boutayeb, A.
44
1990
Finite-difference methods for the solution of special eighth-order boundary-value problems. Zbl 0820.65046
Boutayeb, A.; Twizell, E. H.
39
1993
Spline solutions of linear sixth-order boundary-value problems. Zbl 1001.65523
Siddiqi, Shahid S.; Twizell, E. H.
38
1996
A second-order scheme for the “Brusselator” reaction-diffusion system. Zbl 1016.92049
Twizell, E. H.; Gumel, A. B.; Cao, Q.
35
2000
Numerical methods for the solution of special sixth-order boundary-value problems. Zbl 0773.65055
Boutayeb, A.; Twizell, E. H.
35
1992
An explicit difference method for the wave equation with extended stability range. Zbl 0441.65066
Twizell, E. H.
35
1979
Spline solutions of linear eighth-order boundary-value problems. Zbl 0881.65076
Siddiqi, Shahid S.; Twizell, E. H.
33
1996
Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems. Zbl 1082.65553
Siraj-ul-Islam; Azam Khan, Muhammad; Tirmizi, Ikram A.; Twizell, E. H.
28
2005
Computational methods for partial differential equations. Zbl 0546.65062
Twizell, E. H.
27
1984
Existence of entire explosive positive solutions of quasi-linear elliptic equations. Zbl 1089.35021
Lu, Qishao; Yang, Zuodong; Twizell, E. H.
26
2004
On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations. Zbl 0768.65059
Khaliq, A. Q. M.; Twizell, E. H.; Voss, D. A.
26
1993
Multiderivative methods for periodic initial value problems. Zbl 0548.65053
Twizell, E. H.; Khaliq, A. Q. M.
26
1984
Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability. Zbl 0847.76057
Twizell, E. H.; Boutayeb, A.; Djidjeli, K.
25
1994
Finite-difference methods for twelfth-order boundary-value problems. Zbl 0727.65071
Boutayeb, A.; Twizell, E. H.
24
1991
A linearized implicit pseudo-spectral method for some model equations: The regularized long wave equations. Zbl 1035.65110
Djidjeli, K.; Price, W. G.; Twizell, E. H.; Cao, Q.
23
2003
An unconditionally convergent finite-difference scheme for the \(SIR\) model. Zbl 1026.92041
Piyawong, W.; Twizell, E. H.; Gumel, A. B.
23
2003
An unconditionally convergent discretizaton of the SEIR model. Zbl 0983.92025
Jansen, H.; Twizell, E. H.
23
2002
Spline solutions of linear twelfth-order boundary-value problems. Zbl 0865.65059
Siddiqi, Shahid S.; Twizell, E. H.
23
1997
Chaos-free numerical solutions of reaction-diffusion equations. Zbl 0722.65051
Twizell, E. H.; Wang, Yigong; Price, W. G.
22
1990
Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions. Zbl 0872.65084
Twizell, E. H.; Gumel, A. B.; Arigu, M. A.
21
1996
A finite-difference method for solving the cubic Schrödinger equation. Zbl 0886.65101
Twizell, E. H.; Bratsos, A. G.; Newby, J. C.
20
1997
The solution of the sine-Gordon equation using the method of lines. Zbl 1001.65512
Bratsos, A. G.; Twizell, E. H.
20
1996
Numerical methods for special nonlinear boundary-value problems of order \(2m\). Zbl 0780.65046
Djidjeli, K.; Twizell, E. H.; Boutayeb, A.
19
1993
Spline solutions of linear tenth-order boundary-value problems. Zbl 0920.65049
Siddiqi, Shahid S.; Twizell, E. H.
18
1998
Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations. Zbl 0833.65100
Djidjeli, K.; Price, W. G.; Twizell, E. H.; Wang, Y.
18
1995
A family of parametric finite-difference methods for the solution of the sine-Gordon equation. Zbl 0943.65102
Bratsos, A. G.; Twizell, E. H.
17
1998
A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves. Zbl 1064.41004
Duan, Qi; Wang, Liqiu; Twizell, E. H.
15
2005
Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems. Zbl 1013.65078
Tirmizi, I. A.; Twizell, E. H.
15
2002
Weighted rational cubic spline interpolation and its application. Zbl 0961.65009
Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
15
2000
Numerical methods for sixth-boundary problems. Zbl 0657.65105
Twizell, E. H.
14
1988
A family of second order methods for variable coefficient fourth order parabolic partial differential equations. Zbl 0661.65096
Khaliq, A. Q. M.; Twizell, E. H.
14
1987
A class of methods based on nonpolynomial sextic spline functions for the solution of a special fifth-order boundary-value problems. Zbl 1096.65070
Khan, Muhammad Azam; Siraj-Ul-Islam; Tirmizi, Ikram A.; Twizell, E. H.; Ashraf, Saadat
13
2006
The approximation properties of some rational cubic splines. Zbl 0933.41007
Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
13
1999
Finite-difference methods for solving the reaction-diffusion equations of a simple isothermal chemical system. Zbl 0807.65097
Twizell, E. H.; Wang, Yigong; Price, W. G.; Fakhr, F.
13
1994
Nonlinear optimization of the material constants in Ogden’s stress- deformation function for incompressible isotropic elastic materials. Zbl 0504.73025
Twizell, E. H.; Ogden, R. W.
13
1983
One-dimensional measles dynamics. Zbl 1047.92040
Al-Showaikh, F. N. M.; Twizell, E. H.
12
2004
A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems. Zbl 1243.74200
Jin, L.; Lu, Q.-S.; Twizell, E. H.
11
2006
Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass. Zbl 0924.65085
Gumel, A. B.; Ang, W. T.; Twizell, E. H.
11
1997
A difference scheme with high accuracy in time for fourth-order parabolic equations. Zbl 0509.65044
Twizell, E. H.; Khaliq, A. Q. M.
11
1983
Fourier spectral approximation to long-time behaviour of the derivative three-dimensional Ginzburg-Landau equation. Zbl 1104.65097
Lü, Shujuan; Lu, Qishao; Twizell, E. H.
10
2007
A numerical method for third-order non-linear boundary-value problems in engineering. Zbl 1065.65098
Tirmizi, Ikram A.; Twizell, E. H.; Siraj-Ul-Islam
10
2005
Multiderivative methods for nonlinear beam problems. Zbl 0627.73082
Twizell, E. H.; Tirmizi, S. I. A.
10
1988
A family of numerical methods for the solution of high-order general initial value problems. Zbl 0619.65056
Twizell, E. H.
10
1988
Multiderivative methods for non-linear second-order boundary value problems. Zbl 0619.65072
Twizell, E. H.; Tirmizi, S. I. A.
10
1987
Error estimation of a kind of rational spline. Zbl 1106.41009
Duan, Qi; Zhang, Huanling; Zhang, Yunfeng; Twizell, E. H.
9
2007
A bivariate rational interpolation and the properties. Zbl 1100.41004
Duan, Qi; Zhang, Yunfeng; Twizell, E. H.
9
2006
A novel approach to the convexity control of interpolant curves. Zbl 1031.65023
Duan, Qi; Wang, Liqiu; Twizell, E. H.
9
2003
A sixth-order multiderivative method for two beam problems. Zbl 0596.73071
Twizell, E. H.; Tirmizi, S. I. A.
9
1986
A new bivariate rational interpolation based on function values. Zbl 1101.68903
Duan, Q.; Wang, L.; Twizell, E. H.
8
2004
The extrapolation of stable finite difference schemes for first order hyperbolic equations. Zbl 0485.65065
Khaliq, A. Q. M.; Twizell, E. H.
8
1982
Numerical methods, with applications in the biomedical sciences. Zbl 0647.65001
Twizell, E. H.
7
1988
Periodic and chaotic behaviour in a reduced form of the perturbed generalized Korteweg-de Vries and Kadomtsev-Petviashvili equations. Zbl 0934.35150
Cao, Q.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
6
1999
A linearized implicit pseudo-spectral method for certain nonlinear water wave equations. Zbl 0927.76076
Djidjeli, K.; Price, W. G.; Temarel, P.; Twizell, E. H.
6
1998
A nonlinear numerical model of percutaneous drug absorption. Zbl 0738.92007
Kubota, K.; Twizell, E. H.
6
1992
One-step multiderivative methods for first order ordinary differential equations. Zbl 0474.65052
Twizell, E. H.; Khaliq, A. Q. M.
6
1981
A nonlinear population model of diabetes mellitus. Zbl 1109.34037
Boutayeb, A.; Chetouani, A.; Achouyab, A.; Twizell, E. H.
5
2006
A repeated-dose model of percutaneous drug absorption. Zbl 1005.92014
Kubota, K.; Dey, F.; Matar, S. A.; Twizell, E. H.
5
2002
An explicit finite-difference scheme for the solution of the Kadomtsev-Petviashvili equation. Zbl 0904.65094
Bratsos, A. G.; Twizell, E. H.
5
1998
A second-order, chaos-free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology. Zbl 0770.65055
Price, W. G.; Wang, Yigong; Twizell, E. H.
5
1993
Global extrapolations of numerical methods for solving a third-order dispersive partial differential equation. Zbl 0749.65059
Djidjeli, K.; Twizell, E. H.
5
1991
\(L_ 0\)-stable splitting methods for the simple heat equation in two space dimensions with homogeneous boundary conditions. Zbl 0596.65061
Khaliq, A. Q. M.; Twizell, E. H.
5
1986
Backward difference replacements of the space derivative in first-order hyperbolic equations. Zbl 0522.65062
Khaliq, A. Q. M.; Twizell, E. H.
5
1984
Hermite interpolation by piecewise rational surface. Zbl 1140.65017
Duan, Qi; Li, Shilong; Bao, Fangxun; Twizell, E. H.
4
2008
Bounded property and point control of a bivariate rational interpolating surface. Zbl 1141.65013
Duan, Qi; Zhang, Huanling; Zhang, Yunfeng; Twizell, E. H.
4
2006
Stable second-order finite-difference methods for linear initial-boundary-value problems. Zbl 1090.35015
George, K.; Twizell, E. H.
4
2006
A new weighted rational cubic interpolation and its approximation. Zbl 1081.41002
Duan, Qi; Wang, Liqiu; Twizell, E. H.
4
2005
Constrained control and approximation properties of a rational interpolating curve. Zbl 1040.65008
Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
4
2003
Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity. Zbl 0984.65134
Cao, Q.; Xu, L.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
4
2001
A family of methods for the wave equatioin in one- and two-space dimensions. Zbl 0634.65072
Twizell, E. H.; Tirmizi, S. I. A.
4
1985
The dynamics of a one-dimensional fox-rabies model. Zbl 1107.92044
Abo Elrish, M. R.; Twizell, E. H.
3
2006
A second-order explicit scheme for the numerical solution of a fox-rabies model. Zbl 1052.92046
Abo Elrish, M. R.; Twizell, E. H.
3
2004
The existence of periodic motions in rub-impact rotor systems. Zbl 1236.70028
Lu, Q.-S; Li, Q.-H; Twizell, E. H.
3
2003
Partially implicit schemes for the numerical solutions of some nonlinear differential equations. Zbl 0943.65153
Djidjeli, K.; Price, W. G.; Temarel, P.; Twizell, E. H.
3
1998
A family of third-order parallel splitting methods for parabolic partial differential equations. Zbl 0908.65086
Taj, M. S. A.; Twizell, E. H.
3
1998
Soliton solutions of a class of generalized nonlinear Schrödinger equations. Zbl 0888.35105
Cao, Qingjie; Zhang, Tiande; Djidjeli, K.; Price, G. W.; Twizell, E. H.
3
1997
Explicit finite-difference methods for nonlinear dynamic systems: Froude’s pendulum. Zbl 0900.70011
Djidjeli, K.; Guan, Z.; Price, W. G.; Twizell, E. H.
3
1996
A sixth-order extrapolation method for special nonlinear fourth-order boundary value problems. Zbl 0602.73089
Twizell, E. H.
3
1987
Phase-lag analysis for a family of two-step methods for second order periodic initial value problems. Zbl 0607.65046
Twizell, E. H.
3
1986
Stability regions for one-step multiderivative methods in PECE mode with application to stiff systems. Zbl 0586.65051
Khaliq, A. Q. M.; Twizell, E. H.
3
1985
A transient model of thermoregulation in a clothed human. Zbl 0549.92006
Smith, P.; Twizell, E. H.
3
1984
Region control and approximation of a weighted rational interpolating curves. Zbl 1083.65008
Duan, Qi; Zhang, Yunfeng; Wang, Liqiu; Twizell, E. H.
2
2006
A finite-difference solution of the Ginzburg-Landau equation. Zbl 1319.65081
Willers, J.; Twizell, E. H.
2
2003
Computational methods for some nonlinear wave equations. Zbl 0946.76054
Cao, Q.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
2
1999
Parallel \(L_ 0\)-stable methods for the multi-dimensional diffusion equation. Zbl 0878.65078
Gumel, A. B.; Twizell, E. H.; Arigu, M. A.
2
1997
The extrapolation of implicit methods for the constant coefficient diffusion-convection equation. Zbl 0625.65090
Twizell, E. H.
2
1985
A variable gravity model of the otolith membrane. Zbl 0425.92005
Twizell, E. H.
2
1980
Numerical solutions for a coupled non-linear oscillator. Zbl 1017.92051
Gumel, A. B.; Langford, W. F.; Twizell, E. H.; Wu, J.
1
2000
Convexity control and approximation properties of interpolating curves. Zbl 0977.41002
Duan, Qi; Chen, Tzer-shyong; Djidjeli, K.; Price, W. G.; Twizell, E. H.
1
2000
A sequential algorithm for the nonlinear dual-sorption model of percutaneous drug absorption. Zbl 0938.92016
Gumel, A. B.; Kubota, K.; Twizell, E. H.
1
1998
A family of fourth-order parallel splitting methods for parabolic partial differential equations. Zbl 0881.65085
Taj, M. S. A.; Twizell, E. H.
1
1997
Sequential and parallel methods for solving first-order hyperbolic equations. Zbl 0863.65051
Arigu, M. A.; Twizell, E. H.; Gumel, A. B.
1
1996
Lag time in the dual sorption model for percutaneous absorption with finite skin-receptor boundary clearance. Zbl 0806.92004
Twizell, E. H.; Kubota, K.
1
1994
Sequential and parallel algorithms for second-order initial-value problems. Zbl 0834.65055
Twizell, E. H.; Khaliq, A. Q. M.; Voss, D. A.
1
1993
Second-order, numerical methods for the solution of equations in population modelling. Zbl 0759.65043
Wang, Yigong; Twizell, E. H.; Price, W. G.
1
1992
Global extrapolation on three and four grids for special initial value problems. Zbl 0705.65053
Khaliq, A. Q. M.; Twizell, E. H.
1
1989
Global extrapolation of numerical methods for initial value problems. Zbl 0678.65046
Khaliq, A. Q. M.; Twizell, E. H.
1
1989
Methods with \(O(H^ 4)\) and \(O(H^ 6)\) phase-lags for periodic initial value problems. Zbl 0661.65081
Khaliq, A. Q. M.; Twizell, E. H.
1
1988
Hermite interpolation by piecewise rational surface. Zbl 1140.65017
Duan, Qi; Li, Shilong; Bao, Fangxun; Twizell, E. H.
4
2008
Fourier spectral approximation to long-time behaviour of the derivative three-dimensional Ginzburg-Landau equation. Zbl 1104.65097
Lü, Shujuan; Lu, Qishao; Twizell, E. H.
10
2007
Error estimation of a kind of rational spline. Zbl 1106.41009
Duan, Qi; Zhang, Huanling; Zhang, Yunfeng; Twizell, E. H.
9
2007
A class of methods based on nonpolynomial sextic spline functions for the solution of a special fifth-order boundary-value problems. Zbl 1096.65070
Khan, Muhammad Azam; Siraj-Ul-Islam; Tirmizi, Ikram A.; Twizell, E. H.; Ashraf, Saadat
13
2006
A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems. Zbl 1243.74200
Jin, L.; Lu, Q.-S.; Twizell, E. H.
11
2006
A bivariate rational interpolation and the properties. Zbl 1100.41004
Duan, Qi; Zhang, Yunfeng; Twizell, E. H.
9
2006
A nonlinear population model of diabetes mellitus. Zbl 1109.34037
Boutayeb, A.; Chetouani, A.; Achouyab, A.; Twizell, E. H.
5
2006
Bounded property and point control of a bivariate rational interpolating surface. Zbl 1141.65013
Duan, Qi; Zhang, Huanling; Zhang, Yunfeng; Twizell, E. H.
4
2006
Stable second-order finite-difference methods for linear initial-boundary-value problems. Zbl 1090.35015
George, K.; Twizell, E. H.
4
2006
The dynamics of a one-dimensional fox-rabies model. Zbl 1107.92044
Abo Elrish, M. R.; Twizell, E. H.
3
2006
Region control and approximation of a weighted rational interpolating curves. Zbl 1083.65008
Duan, Qi; Zhang, Yunfeng; Wang, Liqiu; Twizell, E. H.
2
2006
Nonpolynomial spline approach to the solution of a system of third-order boundary-value problems. Zbl 1082.65553
Siraj-ul-Islam; Azam Khan, Muhammad; Tirmizi, Ikram A.; Twizell, E. H.
28
2005
A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves. Zbl 1064.41004
Duan, Qi; Wang, Liqiu; Twizell, E. H.
15
2005
A numerical method for third-order non-linear boundary-value problems in engineering. Zbl 1065.65098
Tirmizi, Ikram A.; Twizell, E. H.; Siraj-Ul-Islam
10
2005
A new weighted rational cubic interpolation and its approximation. Zbl 1081.41002
Duan, Qi; Wang, Liqiu; Twizell, E. H.
4
2005
Existence of entire explosive positive solutions of quasi-linear elliptic equations. Zbl 1089.35021
Lu, Qishao; Yang, Zuodong; Twizell, E. H.
26
2004
One-dimensional measles dynamics. Zbl 1047.92040
Al-Showaikh, F. N. M.; Twizell, E. H.
12
2004
A new bivariate rational interpolation based on function values. Zbl 1101.68903
Duan, Q.; Wang, L.; Twizell, E. H.
8
2004
A second-order explicit scheme for the numerical solution of a fox-rabies model. Zbl 1052.92046
Abo Elrish, M. R.; Twizell, E. H.
3
2004
A linearized implicit pseudo-spectral method for some model equations: The regularized long wave equations. Zbl 1035.65110
Djidjeli, K.; Price, W. G.; Twizell, E. H.; Cao, Q.
23
2003
An unconditionally convergent finite-difference scheme for the \(SIR\) model. Zbl 1026.92041
Piyawong, W.; Twizell, E. H.; Gumel, A. B.
23
2003
A novel approach to the convexity control of interpolant curves. Zbl 1031.65023
Duan, Qi; Wang, Liqiu; Twizell, E. H.
9
2003
Constrained control and approximation properties of a rational interpolating curve. Zbl 1040.65008
Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
4
2003
The existence of periodic motions in rub-impact rotor systems. Zbl 1236.70028
Lu, Q.-S; Li, Q.-H; Twizell, E. H.
3
2003
A finite-difference solution of the Ginzburg-Landau equation. Zbl 1319.65081
Willers, J.; Twizell, E. H.
2
2003
An unconditionally convergent discretizaton of the SEIR model. Zbl 0983.92025
Jansen, H.; Twizell, E. H.
23
2002
Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems. Zbl 1013.65078
Tirmizi, I. A.; Twizell, E. H.
15
2002
A repeated-dose model of percutaneous drug absorption. Zbl 1005.92014
Kubota, K.; Dey, F.; Matar, S. A.; Twizell, E. H.
5
2002
Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity. Zbl 0984.65134
Cao, Q.; Xu, L.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
4
2001
A second-order scheme for the “Brusselator” reaction-diffusion system. Zbl 1016.92049
Twizell, E. H.; Gumel, A. B.; Cao, Q.
35
2000
Weighted rational cubic spline interpolation and its application. Zbl 0961.65009
Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
15
2000
Numerical solutions for a coupled non-linear oscillator. Zbl 1017.92051
Gumel, A. B.; Langford, W. F.; Twizell, E. H.; Wu, J.
1
2000
Convexity control and approximation properties of interpolating curves. Zbl 0977.41002
Duan, Qi; Chen, Tzer-shyong; Djidjeli, K.; Price, W. G.; Twizell, E. H.
1
2000
The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions. Zbl 0941.65073
Çaglar, H. N.; Çaglar, S. H.; Twizell, E. H.
56
1999
The numerical solution of third-order boundary-value problems with fourth-degree \(B\)-spline functions. Zbl 0929.65048
Caglar, H. N.; Caglar, S. H.; Twizell, E. H.
54
1999
The approximation properties of some rational cubic splines. Zbl 0933.41007
Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
13
1999
Periodic and chaotic behaviour in a reduced form of the perturbed generalized Korteweg-de Vries and Kadomtsev-Petviashvili equations. Zbl 0934.35150
Cao, Q.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
6
1999
Computational methods for some nonlinear wave equations. Zbl 0946.76054
Cao, Q.; Djidjeli, K.; Price, W. G.; Twizell, E. H.
2
1999
Spline solutions of linear tenth-order boundary-value problems. Zbl 0920.65049
Siddiqi, Shahid S.; Twizell, E. H.
18
1998
A family of parametric finite-difference methods for the solution of the sine-Gordon equation. Zbl 0943.65102
Bratsos, A. G.; Twizell, E. H.
17
1998
A linearized implicit pseudo-spectral method for certain nonlinear water wave equations. Zbl 0927.76076
Djidjeli, K.; Price, W. G.; Temarel, P.; Twizell, E. H.
6
1998
An explicit finite-difference scheme for the solution of the Kadomtsev-Petviashvili equation. Zbl 0904.65094
Bratsos, A. G.; Twizell, E. H.
5
1998
Partially implicit schemes for the numerical solutions of some nonlinear differential equations. Zbl 0943.65153
Djidjeli, K.; Price, W. G.; Temarel, P.; Twizell, E. H.
3
1998
A family of third-order parallel splitting methods for parabolic partial differential equations. Zbl 0908.65086
Taj, M. S. A.; Twizell, E. H.
3
1998
A sequential algorithm for the nonlinear dual-sorption model of percutaneous drug absorption. Zbl 0938.92016
Gumel, A. B.; Kubota, K.; Twizell, E. H.
1
1998
Spline solutions of linear twelfth-order boundary-value problems. Zbl 0865.65059
Siddiqi, Shahid S.; Twizell, E. H.
23
1997
A finite-difference method for solving the cubic Schrödinger equation. Zbl 0886.65101
Twizell, E. H.; Bratsos, A. G.; Newby, J. C.
20
1997
Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass. Zbl 0924.65085
Gumel, A. B.; Ang, W. T.; Twizell, E. H.
11
1997
Soliton solutions of a class of generalized nonlinear Schrödinger equations. Zbl 0888.35105
Cao, Qingjie; Zhang, Tiande; Djidjeli, K.; Price, G. W.; Twizell, E. H.
3
1997
Parallel \(L_ 0\)-stable methods for the multi-dimensional diffusion equation. Zbl 0878.65078
Gumel, A. B.; Twizell, E. H.; Arigu, M. A.
2
1997
A family of fourth-order parallel splitting methods for parabolic partial differential equations. Zbl 0881.65085
Taj, M. S. A.; Twizell, E. H.
1
1997
Spline solutions of linear sixth-order boundary-value problems. Zbl 1001.65523
Siddiqi, Shahid S.; Twizell, E. H.
38
1996
Spline solutions of linear eighth-order boundary-value problems. Zbl 0881.65076
Siddiqi, Shahid S.; Twizell, E. H.
33
1996
Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions. Zbl 0872.65084
Twizell, E. H.; Gumel, A. B.; Arigu, M. A.
21
1996
The solution of the sine-Gordon equation using the method of lines. Zbl 1001.65512
Bratsos, A. G.; Twizell, E. H.
20
1996
Explicit finite-difference methods for nonlinear dynamic systems: Froude’s pendulum. Zbl 0900.70011
Djidjeli, K.; Guan, Z.; Price, W. G.; Twizell, E. H.
3
1996
Sequential and parallel methods for solving first-order hyperbolic equations. Zbl 0863.65051
Arigu, M. A.; Twizell, E. H.; Gumel, A. B.
1
1996
Numerical solutions of a damped sine-Gordon equation in two space variables. Zbl 0841.65083
Djidjeli, K.; Price, W. G.; Twizell, E. H.
50
1995
Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations. Zbl 0833.65100
Djidjeli, K.; Price, W. G.; Twizell, E. H.; Wang, Y.
18
1995
Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability. Zbl 0847.76057
Twizell, E. H.; Boutayeb, A.; Djidjeli, K.
25
1994
Finite-difference methods for solving the reaction-diffusion equations of a simple isothermal chemical system. Zbl 0807.65097
Twizell, E. H.; Wang, Yigong; Price, W. G.; Fakhr, F.
13
1994
Lag time in the dual sorption model for percutaneous absorption with finite skin-receptor boundary clearance. Zbl 0806.92004
Twizell, E. H.; Kubota, K.
1
1994
Finite-difference methods for the solution of special eighth-order boundary-value problems. Zbl 0820.65046
Boutayeb, A.; Twizell, E. H.
39
1993
On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations. Zbl 0768.65059
Khaliq, A. Q. M.; Twizell, E. H.; Voss, D. A.
26
1993
Numerical methods for special nonlinear boundary-value problems of order \(2m\). Zbl 0780.65046
Djidjeli, K.; Twizell, E. H.; Boutayeb, A.
19
1993
A second-order, chaos-free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology. Zbl 0770.65055
Price, W. G.; Wang, Yigong; Twizell, E. H.
5
1993
Sequential and parallel algorithms for second-order initial-value problems. Zbl 0834.65055
Twizell, E. H.; Khaliq, A. Q. M.; Voss, D. A.
1
1993
Numerical methods for the solution of special sixth-order boundary-value problems. Zbl 0773.65055
Boutayeb, A.; Twizell, E. H.
35
1992
A nonlinear numerical model of percutaneous drug absorption. Zbl 0738.92007
Kubota, K.; Twizell, E. H.
6
1992
Second-order, numerical methods for the solution of equations in population modelling. Zbl 0759.65043
Wang, Yigong; Twizell, E. H.; Price, W. G.
1
1992
Finite-difference methods for twelfth-order boundary-value problems. Zbl 0727.65071
Boutayeb, A.; Twizell, E. H.
24
1991
Global extrapolations of numerical methods for solving a third-order dispersive partial differential equation. Zbl 0749.65059
Djidjeli, K.; Twizell, E. H.
5
1991
Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems. Zbl 0722.65042
Twizell, E. H.; Boutayeb, A.
44
1990
Chaos-free numerical solutions of reaction-diffusion equations. Zbl 0722.65051
Twizell, E. H.; Wang, Yigong; Price, W. G.
22
1990
Global extrapolation on three and four grids for special initial value problems. Zbl 0705.65053
Khaliq, A. Q. M.; Twizell, E. H.
1
1989
Global extrapolation of numerical methods for initial value problems. Zbl 0678.65046
Khaliq, A. Q. M.; Twizell, E. H.
1
1989
Numerical methods for sixth-boundary problems. Zbl 0657.65105
Twizell, E. H.
14
1988
Multiderivative methods for nonlinear beam problems. Zbl 0627.73082
Twizell, E. H.; Tirmizi, S. I. A.
10
1988
A family of numerical methods for the solution of high-order general initial value problems. Zbl 0619.65056
Twizell, E. H.
10
1988
Numerical methods, with applications in the biomedical sciences. Zbl 0647.65001
Twizell, E. H.
7
1988
Methods with \(O(H^ 4)\) and \(O(H^ 6)\) phase-lags for periodic initial value problems. Zbl 0661.65081
Khaliq, A. Q. M.; Twizell, E. H.
1
1988
A family of second order methods for variable coefficient fourth order parabolic partial differential equations. Zbl 0661.65096
Khaliq, A. Q. M.; Twizell, E. H.
14
1987
Multiderivative methods for non-linear second-order boundary value problems. Zbl 0619.65072
Twizell, E. H.; Tirmizi, S. I. A.
10
1987
A sixth-order extrapolation method for special nonlinear fourth-order boundary value problems. Zbl 0602.73089
Twizell, E. H.
3
1987
One-, two- and three-grid extrapolation methods for a class of singular two-point boundary value problems. Zbl 0617.65089
Twizell, E. H.
1
1987
A sixth-order multiderivative method for two beam problems. Zbl 0596.73071
Twizell, E. H.; Tirmizi, S. I. A.
9
1986
\(L_ 0\)-stable splitting methods for the simple heat equation in two space dimensions with homogeneous boundary conditions. Zbl 0596.65061
Khaliq, A. Q. M.; Twizell, E. H.
5
1986
Phase-lag analysis for a family of two-step methods for second order periodic initial value problems. Zbl 0607.65046
Twizell, E. H.
3
1986
A family of numerical methods for diffusion and reaction-diffusion equations. Zbl 0631.65117
Twizell, E. H.; Khaliq, A. Q. M.
1
1986
A fourth-order extrapolation method for special nonlinear fourth-order boundary value problems. Zbl 0617.65090
Twizell, E. H.
1
1986
A family of methods for the wave equatioin in one- and two-space dimensions. Zbl 0634.65072
Twizell, E. H.; Tirmizi, S. I. A.
4
1985
Stability regions for one-step multiderivative methods in PECE mode with application to stiff systems. Zbl 0586.65051
Khaliq, A. Q. M.; Twizell, E. H.
3
1985
The extrapolation of implicit methods for the constant coefficient diffusion-convection equation. Zbl 0625.65090
Twizell, E. H.
2
1985
Computational methods for partial differential equations. Zbl 0546.65062
Twizell, E. H.
27
1984
Multiderivative methods for periodic initial value problems. Zbl 0548.65053
Twizell, E. H.; Khaliq, A. Q. M.
26
1984
Backward difference replacements of the space derivative in first-order hyperbolic equations. Zbl 0522.65062
Khaliq, A. Q. M.; Twizell, E. H.
5
1984
A transient model of thermoregulation in a clothed human. Zbl 0549.92006
Smith, P.; Twizell, E. H.
3
1984
Nonlinear optimization of the material constants in Ogden’s stress- deformation function for incompressible isotropic elastic materials. Zbl 0504.73025
Twizell, E. H.; Ogden, R. W.
13
1983
A difference scheme with high accuracy in time for fourth-order parabolic equations. Zbl 0509.65044
Twizell, E. H.; Khaliq, A. Q. M.
11
1983
The extrapolation of stable finite difference schemes for first order hyperbolic equations. Zbl 0485.65065
Khaliq, A. Q. M.; Twizell, E. H.
8
1982
...and 6 more Documents
all top 5

Cited by 1,053 Authors

62 Twizell, E. H.
34 Dehghan Takht Fooladi, Mehdi
30 Khaliq, Abdul Q. M.
23 Akram, Ghazala
23 Siddiqi, Shahid Saeed
20 Yang, Zuodong
17 Bratsos, Athanassios G.
17 Mohanty, Ranjan Kumar
16 Duan, Qi
16 Noor, Muhammad Aslam
12 Abd-Elhameed, Waleed Mohamed
12 Djidjeli, K.
12 Gumel, Abba B.
12 Jator, Samuel N.
12 Rashidinia, Jalil
12 Siraj-ul-Islam
12 Tirmizi, Ikram A.
10 Agarwal, Ravi P.
10 El-Gamel, Mohamed
10 Mohyud-Din, Syed Tauseef
10 Wong, Patricia J. Y.
9 Arenas, Abraham J.
9 Boutayeb, Abdesslam
9 Doha, Eid H.
9 Price, W. Geraint
9 Sheng, Qin
9 Yousuf, Muhammad Irfan
8 Baccouch, Mahboub
8 Jalilian, Reza
8 Jiwari, Ram
8 Mittal, Ramesh Chand
8 Wazwaz, Abdul-Majid Abdul-Rahman
7 Bao, Fangxun
7 Bhrawy, Ali Hassan
7 González-Parra, Gilberto C.
7 Hussain, Malik Zawwar
7 Ramos, Juan I.
6 Ang, Whyeteong
6 Arigu, M. A.
6 Bhatt, Harish P.
6 Chand, Arya Kumar Bedabrata
6 Chen, Lansun
6 Dağ, İdris
6 Inc, Mustafa
6 Khuri, Suheil A.
6 Sayfy, Ali M. S.
6 Voss, David A.
6 Zhang, Yunfeng
5 Caglar, Hikmet
5 Caglar, Nazan
5 Colella, Phillip
5 Evans, David John
5 Ismail, Fudziah Bt.
5 Khan, Muhammad Azam
5 Kojouharov, Hristo V.
5 Liu, Chunlian
5 Meng, Xinzhu
5 Mirzaei, Davoud
5 Montáns, Francisco-Javier
5 Noor, Khalida Inayat
5 Wade, Bruce A.
5 Zahra, Waheed K.
5 Zhu, Yuanpeng
4 Abbas, Muhammad
4 Ashyralyev, Allaberen
4 Băleanu, Dumitru I.
4 Cao, Qingjie
4 Chen-Charpentier, Benito M.
4 Chetouani, Abdelaziz
4 Dimitrov, Dobromir T.
4 Frammartino, Carmelina
4 García López, Carmen María
4 Ghasemi, Mohamad
4 Kaur, Deepti
4 Khan, Arshad Ali
4 Lakestani, Mehrdad
4 Lang, Feng-Gong
4 Liu, Huanwen
4 Liu, Li-Bin
4 Mohammadi, Reza
4 Mokhtari, Reza
4 Napoli, Anna
4 Ramadan, Mohamed Abdel-Latif
4 Sarfraz, Muhammad
4 Sun, Weiwei
4 Xu, Xiaoping
3 Abo Elrish, M. R.
3 Ainsworth, Mark
3 Akgül, Ali
3 Al-Said, Eisa A.
3 Ang, Wei Tech
3 Cui, Minggen
3 Dereli, Yılmaz
3 Ding, Hengfei
3 Fakhar-Izadi, Farhad
3 Furati, Khaled M.
3 Ibrahim, Zarina Bibi Binti
3 Khan, Arshad M.
3 Khurana, Gunjan
3 Korkmaz, Alper
...and 953 more Authors
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Cited in 157 Serials

141 Applied Mathematics and Computation
75 International Journal of Computer Mathematics
61 Journal of Computational and Applied Mathematics
39 Computers & Mathematics with Applications
20 Journal of Computational Physics
19 Numerical Methods for Partial Differential Equations
19 Numerical Algorithms
18 Applied Numerical Mathematics
17 Mathematical Problems in Engineering
16 Chaos, Solitons and Fractals
15 Computer Methods in Applied Mechanics and Engineering
14 Communications in Nonlinear Science and Numerical Simulation
13 Communications in Numerical Methods in Engineering
13 Abstract and Applied Analysis
12 Computer Physics Communications
12 Mathematics and Computers in Simulation
12 Applied Mathematical Modelling
11 Engineering Analysis with Boundary Elements
10 Applied Mathematics Letters
10 Mathematical and Computer Modelling
10 Journal of Applied Mathematics and Computing
9 Mathematical Biosciences
9 Computational and Applied Mathematics
8 Calcolo
8 Journal of Applied Mathematics
7 Journal of Difference Equations and Applications
7 Advances in Difference Equations
6 Applicable Analysis
6 Journal of Mathematical Analysis and Applications
6 Mathematical Methods in the Applied Sciences
6 Journal of Mathematical Chemistry
6 Boundary Value Problems
5 Journal of Scientific Computing
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of the Egyptian Mathematical Society
5 Advances in Computational Mathematics
5 Nonlinear Dynamics
5 Discrete Dynamics in Nature and Society
4 Differential Equations and Dynamical Systems
4 Complex Variables and Elliptic Equations
4 Advances in Mathematical Physics
4 Mathematical Sciences
4 International Journal of Applied and Computational Mathematics
3 Computing
3 International Journal for Numerical Methods in Engineering
3 Journal of Optimization Theory and Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Applied Mathematics and Mechanics. (English Edition)
3 Computational Mechanics
3 SIAM Journal on Scientific Computing
3 Applied Mathematics. Series B (English Edition)
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Parallel Algorithms and Applications
3 International Journal of Computational Methods
3 Mediterranean Journal of Mathematics
3 International Journal for Computational Methods in Engineering Science and Mechanics
3 S\(\vec{\text{e}}\)MA Journal
2 Acta Mechanica
2 Journal of Engineering Mathematics
2 Journal of the Mechanics and Physics of Solids
2 Rocky Mountain Journal of Mathematics
2 Wave Motion
2 Kybernetes
2 Numerical Functional Analysis and Optimization
2 Results in Mathematics
2 Acta Applicandae Mathematicae
2 Computational Mathematics and Mathematical Physics
2 Archive of Applied Mechanics
2 Chaos
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Iranian Journal of Science and Technology. Transaction A: Science
2 International Journal of Differential Equations
2 International Journal for Numerical Methods in Biomedical Engineering
2 Afrika Matematika
2 Journal of Mathematics
2 Ural Mathematical Journal
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Systems Science
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Mathematical Notes
1 Molecular Simulation
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 BIT
1 Collectanea Mathematica
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Kybernetika
1 Kyungpook Mathematical Journal
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 Chinese Annals of Mathematics. Series B
1 Communications in Applied Numerical Methods
...and 57 more Serials
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Cited in 38 Fields

658 Numerical analysis (65-XX)
335 Partial differential equations (35-XX)
234 Ordinary differential equations (34-XX)
82 Biology and other natural sciences (92-XX)
47 Mechanics of deformable solids (74-XX)
43 Approximations and expansions (41-XX)
42 Fluid mechanics (76-XX)
29 Dynamical systems and ergodic theory (37-XX)
15 Mechanics of particles and systems (70-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Systems theory; control (93-XX)
10 Real functions (26-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Integral equations (45-XX)
9 Computer science (68-XX)
8 Measure and integration (28-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Operator theory (47-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Probability theory and stochastic processes (60-XX)
7 Optics, electromagnetic theory (78-XX)
6 Quantum theory (81-XX)
5 Difference and functional equations (39-XX)
5 Functional analysis (46-XX)
5 Statistics (62-XX)
4 Special functions (33-XX)
3 Information and communication theory, circuits (94-XX)
2 Algebraic geometry (14-XX)
2 Geophysics (86-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

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