New unconditionally stable difference schemes for the solution of multidimensional telegraphic equations. Zbl 1181.65112
Mohanty, R. K. 

2009

An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation. Zbl 0990.65101
Mohanty, R. K.; Jain, M. K. 

2001

An unconditionally stable difference scheme for the onespacedimensional linear hyperbolic equation. Zbl 1046.65076
Mohanty, R. K. 

2004

An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions. Zbl 0995.65093
Mohanty, R. K.; Jain, M. K.; Arora, Urvashi 

2002

On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients. Zbl 0877.65066
Mohanty, R. K.; Jain, M. K.; George, Kochurani 

1996

An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients. Zbl 1070.65076
Mohanty, R. K. 

2005

A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems. Zbl 1093.65103
Mohanty, R. K.; Singh, Swarn 

2006

A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of nonlinear two point boundary value problems with singularity. Zbl 1071.65113
Mohanty, R. K. 

2005

An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions. Zbl 1077.65093
Mohanty, R. K. 

2004

A fourth order difference method for the onedimensional general quasilinear parabolic partial differential equation. Zbl 0715.65067
Jain, M. K.; Jain, R. K.; Mohanty, R. K. 

1990

An \(O(h^4)\) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. Zbl 1060.65080
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit 

2004

Fourthorder difference methods for the system of 2D nonlinear elliptic partial differential equations. Zbl 0735.65072
Jain, M. K.; Jain, R. K.; Mohanty, R. K. 

1991

A family of nonuniform mesh tension spline methods for singularly perturbed twopoint singular boundary value problems with significant first derivatives. Zbl 1088.65071
Mohanty, R. K.; Arora, Urvashi 

2006

High accuracy cubic spline finite difference approximation for the solution of onespace dimensional nonlinear wave equations. Zbl 1244.65127
Mohanty, R. K.; Gopal, Venu 

2011

Order \(h^ 4\) difference methods for a class of singular two space elliptic boundary value problems. Zbl 0885.65110
Mohanty, R. K. 

1997

Stability interval for explicit difference schemes for multidimensional secondorder hyperbolic equations with significant firstorder space derivative terms. Zbl 1122.65381
Mohanty, R. K. 

2007

A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. Zbl 1082.65550
Mohanty, R. K.; Jha, Navnit 

2005

A class of nonuniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\). Zbl 1104.65315
Mohanty, R. K. 

2006

High order difference schemes for the system of two space second order nonlinear hyperbolic equations with variable coefficients. Zbl 0856.65098
Mohanty, R. K.; Jain, M. K.; George, Kochurani 

1996

The numerical solution of the system of 3D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourthorder difference methods. Zbl 0827.65102
Mohanty, R. K.; Jain, M. K. 

1995

A fourthorder difference method for elliptic equations with nonlinear first derivative terms. Zbl 0673.65055
Jain, M. K.; Jain, R. K.; Mohanty, R. K. 

1989

An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. Zbl 1063.65084
Mohanty, R. K. 

2005

High order difference methods for system of 1D nonlinear parabolic partial differential equations. Zbl 0734.65074
Jain, M. K.; Jain, R. K.; Mohanty, R. K. 

1990

An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations. Zbl 1114.65105
Mohanty, R. K. 

2007

Alternating group explicit method for the numerical solution of nonlinear singular twopoint boundary value problems using a fourth order finite difference method. Zbl 1003.65088
Evans, D. J.; Mohanty, R. K. 

2002

Highaccuracy cubic spline alternating group explicit methods for 1D quasilinear parabolic equations. Zbl 1172.65047
Mohanty, R. K.; Jain, M. K. 

2009

Convergent spline in tension methods for singularly perturbed twopoint singular boundary value problems. Zbl 1065.65097
Mohanty, R. K.; Evans, D. J.; Arora, Urvashi 

2005

A fourthorder finite difference method for the general onedimensional nonlinear biharmonic problems of first kind. Zbl 0963.65083
Mohanty, R. K. 

2000

Fourthorder finite difference method for threedimensional elliptic equations with nonlinear firstderivative terms. Zbl 0759.65065
Jain, M. K.; Jain, R. K.; Mohanty, R. K. 

1992

Single cell finite difference approximations of \(O(kh^2 +h^4)\) for \({\partial u}\over{\partial x}\) for one space dimensional nonlinear parabolic equation. Zbl 0959.65100
Mohanty, R. K.; Jain, M. K.; Kumar, Dinesh 

2000

Spline in compression method for the numerical solution of singularly perturbed twopoint singular boundaryvalue problems. Zbl 1058.65077
Mohanty, R. K.; Jha, Navnit; Evans, D. J. 

2004

High accuracy cubic spline approximation for two dimensional quasilinear elliptic boundary value problems. Zbl 1349.65569
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika 

2013

An \(O(k^{2} + kh^{2} + h^{4})\) arithmetic average discretization for the solution of 1D nonlinear parabolic equations. Zbl 1116.65105
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi 

2007

A new offstep high order approximation for the solution of threespace dimensional nonlinear wave equations. Zbl 1352.65254
Mohanty, R. K.; Gopal, Venu 

2013

Fourth order finite difference methods for the system of 2D nonlinear elliptic equations with variable coefficients. Zbl 0816.76060
Mohanty, R. K. 

1992

An \(O(k^ 2+ h^ 4)\) finite difference method for onespace Burgers equation in polar coordinates. Zbl 0861.65074
Mohanty, R. K. 

1996

A thirdorderaccurate variablemesh TAGE iterative method for the numerical solution of twopoint nonlinear singular boundary value problems. Zbl 1117.65349
Mohanty, R. K.; Khosla, N. 

2005

A fourth order accurate cubic spline alternating group explicit method for nonlinear singular two point boundary value problems. Zbl 1020.65039
Mohanty, R. K.; Evans, D. J. 

2003

Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. Zbl 0933.65124
Evans, D. J.; Mohanty, R. K. 

1998

Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for twopoint nonlinear boundary value problems. Zbl 1088.65072
Mohanty, R. K.; Khosla, Noopur 

2006

Linear stability analysis and fourthorder approximations at first time level for the two space dimensional mildly quasilinear hyperbolic equations. Zbl 0990.65102
Mohanty, R. K.; Arora, Urvashi; Jain, M. K. 

2001

High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations. Zbl 0845.65046
Mohanty, R. K.; George, Kochurani; Jain, M. K. 

1995

A new highly accurate discretization for threedimensional singularly perturbed nonlinear elliptic partial differential equations. Zbl 1108.65105
Mohanty, R. K.; Singh, Swarn 

2006

Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133
Mohanty, R. K.; Dai, Weizhong; Han, Fei 

2015

A new compact high order offstep discretization for the system of 2D quasilinear elliptic partial differential equations. Zbl 1380.65327
Mohanty, Ranjan K.; Setia, Nikita 

2013

Difference methods of order two and four for systems of mildly nonlinear biharmonic problems of the second kind in two space dimensions. Zbl 0863.65067
Mohanty, R. K.; Pandey, P. K. 

1996

An \(O(h_k^3)\) nonuniform mesh cubic spline TAGE method for nonlinear singular twopoint boundary value problems. Zbl 1075.65102
Mohanty, R. K.; Evans, D. J.; Khosla, Noopur 

2005

A new finite difference discretization of order four for \((\partial u/\partial n)\) for twodimensional quasilinear elliptic boundary value problem. Zbl 0992.65116
Mohanty, R. K.; Dey, Shivani 

2001

Fourthorder approximation for the three space dimensional certain mildly quasilinear hyperbolic equation. Zbl 0982.65096
Mohanty, R. K.; Arora, Urvashi; Jain, M. K. 

2001

Operator compact method of accuracy two in time and four in space for the solution of time dependent BurgersHuxley equation. Zbl 1328.65179
Mohanty, R. K.; Dai, Weizhong; Liu, Don 

2015

High accuracy implicit variable mesh methods for numerical study of special types of fourth order nonlinear parabolic equations. Zbl 1410.65320
Mohanty, R. K.; Kaur, Deepti 

2016

A new high order compact offstep discretization for the system of 3D quasilinear elliptic partial differential equations. Zbl 1426.65155
Mohanty, R. K.; Setia, Nikita 

2013

A fourthorder finite difference method based on spline in tension approximation for the solution of onespace dimensional secondorder quasilinear hyperbolic equations. Zbl 1380.65169
Mohanty, Ranjan K.; Gopal, Venu 

2013

A new fast algorithm based on halfstep discretization for one space dimensional quasilinear hyperbolic equations. Zbl 1336.65140
Mohanty, R. K.; Kumar, Ravindra 

2014

High accuracy nonpolynomial spline in compression method for onespace dimensional quasilinear hyperbolic equations with significant first order space derivative term. Zbl 1334.65172
Mohanty, R. K.; Gopal, Venu 

2014

A class of quasivariable mesh methods based on offstep discretization for the numerical solution of fourthorder quasilinear parabolic partial differential equations. Zbl 1419.35126
Mohanty, Ranjan Kumar; Kaur, Deepti 

2016

A new high accuracy method for twodimensional biharmonic equation with nonlinear third derivative terms: application to NavierStokes equations of motion. Zbl 1317.65218
Mohanty, R. K.; Dai, Weizhong; Han, Fei 

2015

A new high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach. Zbl 1195.65147
Mohanty, R. K. 

2010

A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Zbl 1410.65404
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn 

2015

Numerov type variable mesh approximations for 1D unsteady quasilinear biharmonic problem: application to KuramotoSivashinsky equation. Zbl 1358.65059
Mohanty, R. K.; Kaur, Deepti 

2017

High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients. Zbl 0873.65085
Mohanty, R. K.; Jain, M. K. 

1996

A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form. Zbl 1219.65072
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika 

2011

Fourthorder approximations at first time level, linear stability analysis and the numerical solution of multidimensional secondorder nonlinear hyperbolic equations in polar coordinates. Zbl 0932.65092
Mohanty, R. K.; Jain, M. K.; George, Kochurani 

1998

New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates. Zbl 1292.65090
Gopal, Venu; Mohanty, R. K.; Jha, Navnit 

2013

A new highorder approximation for the solution of twospacedimensional quasilinear hyperbolic equations. Zbl 1242.35015
Mohanty, R. K.; Singh, Suruchi 

2011

A new coupled approach high accuracy numerical method for the solution of 3D nonlinear biharmonic equations. Zbl 1180.65137
Khattar, Dinesh; Singh, Swarn; Mohanty, R. K. 

2009

High accuracy twolevel implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized KuramotoSivashinsky equation. Zbl 1417.65153
Mohanty, R. K.; Kaur, Deepti 

2019

A new stable variable mesh method for 1D nonlinear parabolic partial differential equations. Zbl 1105.65089
Arora, Urvashi; Karaa, Samir; Mohanty, R. K. 

2006

A new high accuracy method in exponential form based on offstep discretization for nonlinear two point boundary value problems. Zbl 1437.65080
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad; Khurana, Gunjan 

2020

On the application of the SMAGE parallel algorithms on a nonuniform mesh for the solution of nonlinear twopoint boundary value problems with singularity. Zbl 1064.65064
Evans, D. J.; Mohanty, R. K. 

2005

A new high order space derivative discretization for 3D quasilinear hyperbolic partial differential equations. Zbl 1410.65321
Mohanty, R. K.; Singh, Suruchi; Singh, Swarn 

2014

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations. Zbl 1458.65136
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad 

2019

Fourth order operator splitting method for the three space parabolic equation with variable coefficients. Zbl 0824.65090
Mohanty, R. K.; Jain, M. K. 

1994

A new twolevel implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed twospace dimensional nonlinear parabolic equations. Zbl 1122.65078
Mohanty, R. K.; Singh, Swarn 

2007

Fourth order nine point unequal mesh discretization for the solution of 2D nonlinear elliptic partial differential equations. Zbl 1157.65467
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi 

2006

TAGE method for nonlinear singular two point boundary value problem using a fourth order difference scheme. Zbl 1047.65057
Mohanty, R. K.; Sachdev, P. L.; Jha, Navnit 

2003

Finite difference methods of order two and four for 2D nonlinear biharmonic problems of first kind. Zbl 1001.65525
Mohanty, R. K.; Jain, M. K.; Pandey, P. K. 

1996

A new high accuracy twolevel implicit offstep discretization for the system of two space dimensional quasilinear parabolic partial differential equations. Zbl 1308.65146
Mohanty, R. K.; Setia, Nikita 

2012

A class of numerical methods for the solution of fourthorder ordinary differential equations in polar coordinates. Zbl 1250.65105
Talwar, Jyoti; Mohanty, R. K. 

2012

Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation. Zbl 1474.65279
Kaur, Deepti; Mohanty, R. K. 

2020

A TAGE iterative method for the solution of nonlinear singular two point boundary value problems using a sixth order discretization. Zbl 1102.65083
Mohanty, R. K.; Arora, Urvashi 

2006

Three point discretization of order four and six for \((du/dx)\) of the solution of nonlinear singular two point boundary value problem. Zbl 0984.65075
Mohanty, R. K.; Evans, D. J.; Dey, Shivani 

2001

Singlecell fourthorder difference approximations for \(\frac{\partial u}{\partial x}\), \(\frac{\partial u}{\partial y}\), and \(\frac{\partial u}{\partial z}\) of the threedimensional quasilinear elliptic equation. Zbl 0958.65108
Mohanty, R. K.; Dey, Shivani 

2000

Singlecell compact finitedifference discretization of order two and four for multidimensional triharmonic problems. Zbl 1202.65141
Mohanty, R. K. 

2010

TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. Zbl 1244.65111
Jha, Navnit; Mohanty, R. K. 

2011

Highly accurate two parameter CAGE parallel algorithms for nonlinear singular twopoint boundary value problems. Zbl 1070.65064
Mohanty, R. K.; Evans, D. J. 

2005

Alternating group explicit parallel algorithms for the solution of onespace dimensional nonlinear singular parabolic equations using an \(O(k^2+h^4)\) difference method. Zbl 1064.65097
Mohanty, R. K.; Evans, D. J. 

2005

Compact half step approximation in exponential form for the system of 2D secondorder quasilinear elliptic partial differential equations. Zbl 1419.65092
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad 

2019

High accuracy difference formulae for a fourth order quasilinear parabolic initial boundary value problem of first kind. Zbl 1026.65069
Mohanty, R. K.; Evans, D. J.; Kumar, Dinesh 

2003

On the absolute stability of a twostep third order method on a graded mesh for an initialvalue problem. Zbl 1476.65136
Mohanty, R. K.; Ghosh, Bishnu Pada; McKee, Sean 

2021

A new high accuracy nonpolynomial tension spline method for the solution of one dimensional wave equation in polar coordinates. Zbl 1311.65110
Gopal, Venu; Mohanty, R. K.; Saha, L. M. 

2014

A new algorithm based on spline in tension approximation for 1D quasilinear parabolic equations on a variable mesh. Zbl 1356.65217
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn 

2016

High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients. Zbl 0904.65085
Mohanty, R. K. 

1998

A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order offstep discretization for the solution of two point nonlinear boundary value problems. Zbl 1292.65085
Mohanty, R. K.; Talwar, Jyoti 

2012

A new spline in compression method of order four in space and two in time based on halfstep grid points for the solution of the system of 1D quasilinear hyperbolic partial differential equations. Zbl 1422.65174
Mohanty, R. K.; Khurana, Gunjan 

2017

Highaccuracy quasivariable mesh method for the system of 1D quasilinear parabolic partial differential equations based on offstep spline in compression approximations. Zbl 1422.65175
Mohanty, R. K.; Sharma, Sachin 

2017

Fourthorder accurate BLAGE iterative method for the solution of twodimensional elliptic equations in polar coordinates. Zbl 1063.65115
Mohanty, R. K.; Evans, D. J. 

2004

The numerical solution of the twodimensional unsteady NavierStokes equations using fourthorder difference method. Zbl 0744.76084
Jain, M. K.; Jain, R. K.; Mohanty, R. K. 

1991

A variable mesh CSPLAGE method of accuracy \(O(k^2h_l^{1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations. Zbl 1167.65444
Mohanty, R. K. 

2009

A class of twolevel implicit unconditionally stable methods for a fourth order parabolic equation. Zbl 1411.65114
Mohanty, R. K.; McKee, Sean; Kaur, Deepti 

2017

A new 2level compact offstep implicit method in exponential form for the solution of fourth order nonlinear parabolic equations. Zbl 1512.65181
Mohanty, R. K.; Sharma, Divya 

2023

High resolution operator compact implicit halfstep approximation for 3D quasilinear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain. Zbl 1484.65185
Mohanty, R. K.; Ghosh, Bishnu Pada 

2022

On the absolute stability of a twostep third order method on a graded mesh for an initialvalue problem. Zbl 1476.65136
Mohanty, R. K.; Ghosh, Bishnu Pada; McKee, Sean 

2021

Highresolution halfstep compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain. Zbl 1498.65188
Priyadarshini, Ishaani; Mohanty, R. K. 

2021

A thirdorder finite difference method on a quasivariable mesh for nonlinear two point boundary value problems with Robin boundary conditions. Zbl 1498.65128
Setia, Nikita; Mohanty, R. K. 

2021

A new high accuracy method in exponential form based on offstep discretization for nonlinear two point boundary value problems. Zbl 1437.65080
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad; Khurana, Gunjan 

2020

Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation. Zbl 1474.65279
Kaur, Deepti; Mohanty, R. K. 

2020

A new third order exponentially fitted discretization for the solution of nonlinear two point boundary value problems on a graded mesh. Zbl 07331977
Mohanty, R. K.; Manchanda, Geetan; Khurana, Gunjan; Khan, Arshad 

2020

A new compact scheme in exponential form for twodimensional timedependent Burgers’ and NavierStokes equations. Zbl 1468.65103
Mohanty, Ranjan Kumar; Yuan, Li; Sharma, Divya 

2020

High accuracy twolevel implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized KuramotoSivashinsky equation. Zbl 1417.65153
Mohanty, R. K.; Kaur, Deepti 

2019

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations. Zbl 1458.65136
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad 

2019

Compact half step approximation in exponential form for the system of 2D secondorder quasilinear elliptic partial differential equations. Zbl 1419.65092
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad 

2019

A new fast algorithm based on halfstep discretization for 3D quasilinear hyperbolic partial differential equations. Zbl 1404.65099
Mohanty, R. K.; Khurana, Gunjan 

2019

A new twolevel implicit scheme for the system of 1D quasilinear parabolic partial differential equations using spline in compression approximations. Zbl 1420.65088
Mohanty, R. K.; Sharma, Sachin; Singh, Swarn 

2019

Twolevel implicit high order method based on halfstep discretization for 1D unsteady biharmonic problems of first kind. Zbl 1411.65111
Kaur, Deepti; Mohanty, R. K. 

2019

A class of two and threelevel implicit methods of order two in time and four in space based on halfstep discretization for twodimensional fourth order quasilinear parabolic equations. Zbl 1429.65193
Mohanty, R. K.; Kaur, Deepti; Singh, Swarn 

2019

Unconditionally stable high accuracy compact difference schemes for multispace dimensional vibration problems with simply supported boundary conditions. Zbl 1480.65218
Mohanty, R. K.; Kaur, Deepti 

2018

Compact difference scheme with high accuracy for onedimensional unsteady quasilinear biharmonic problem of second kind: application to physical problems. Zbl 1399.65163
Mohanty, R. K.; Kaur, D. 

2018

A new twolevel implicit scheme of order two in time and four in space based on halfstep spline in compression approximations for unsteady 1D quasilinear biharmonic equations. Zbl 1448.65115
Mohanty, R. K.; Sharma, Sachin; Singh, Swarn 

2018

Numerov type variable mesh approximations for 1D unsteady quasilinear biharmonic problem: application to KuramotoSivashinsky equation. Zbl 1358.65059
Mohanty, R. K.; Kaur, Deepti 

2017

A new spline in compression method of order four in space and two in time based on halfstep grid points for the solution of the system of 1D quasilinear hyperbolic partial differential equations. Zbl 1422.65174
Mohanty, R. K.; Khurana, Gunjan 

2017

Highaccuracy quasivariable mesh method for the system of 1D quasilinear parabolic partial differential equations based on offstep spline in compression approximations. Zbl 1422.65175
Mohanty, R. K.; Sharma, Sachin 

2017

A class of twolevel implicit unconditionally stable methods for a fourth order parabolic equation. Zbl 1411.65114
Mohanty, R. K.; McKee, Sean; Kaur, Deepti 

2017

A new fast numerical method based on offstep discretization for twodimensional quasilinear hyperbolic partial differential equations. Zbl 1404.65098
Mohanty, R. K.; Khurana, Gunjan 

2017

High accuracy compact operator methods for twodimensional fourth order nonlinear parabolic partial differential equations. Zbl 1434.65127
Mohanty, Ranjan Kumar; Kaur, Deepti 

2017

Nonpolynomial cubic spline discretization for system of nonlinear singular boundary value problems using variable mesh. Zbl 1444.65039
Mohanty, Ranjan Kumar; Nayak, Sucheta; Khan, Arshad 

2017

A new numerical method based on nonpolynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh. Zbl 1371.65084
Mohanty, Ranjan Kumar; Kumar, Ravindra 

2017

High accuracy implicit variable mesh methods for numerical study of special types of fourth order nonlinear parabolic equations. Zbl 1410.65320
Mohanty, R. K.; Kaur, Deepti 

2016

A class of quasivariable mesh methods based on offstep discretization for the numerical solution of fourthorder quasilinear parabolic partial differential equations. Zbl 1419.35126
Mohanty, Ranjan Kumar; Kaur, Deepti 

2016

A new algorithm based on spline in tension approximation for 1D quasilinear parabolic equations on a variable mesh. Zbl 1356.65217
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn 

2016

Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. Zbl 1339.65133
Mohanty, R. K.; Dai, Weizhong; Han, Fei 

2015

Operator compact method of accuracy two in time and four in space for the solution of time dependent BurgersHuxley equation. Zbl 1328.65179
Mohanty, R. K.; Dai, Weizhong; Liu, Don 

2015

A new high accuracy method for twodimensional biharmonic equation with nonlinear third derivative terms: application to NavierStokes equations of motion. Zbl 1317.65218
Mohanty, R. K.; Dai, Weizhong; Han, Fei 

2015

A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Zbl 1410.65404
Talwar, Jyoti; Mohanty, R. K.; Singh, Swarn 

2015

On the stability of two new twostep explicit methods for the numerical integration of second order initial value problem on a variable mesh. Zbl 1326.65089
Mohanty, R. K.; McKee, Sean 

2015

A new variable mesh method based on nonpolynomial spline in compression approximations for 1D quasilinear hyperbolic equations. Zbl 1422.65173
Mohanty, Ranjan Kumar; Jha, Navnit; Kumar, Ravindra 

2015

A new high accuracy twolevel implicit offstep discretization for the system of three space dimensional quasilinear parabolic partial differential equations. Zbl 1443.65218
Mohanty, R. K.; Setia, Nikita 

2015

Coupled reduced alternating group explicit algorithm for third order cubic spline method on a nonuniform mesh for nonlinear singular two point boundary value problems. Zbl 1314.34047
Talwar, Jyoti; Mohanty, R. K. 

2015

A new compact alternating group explicit iteration method for the solution of nonlinear timedependent viscous Burgers’ equation. Zbl 1363.76054
Mohanty, R. K.; Talwar, J. 

2015

A new fast algorithm based on halfstep discretization for one space dimensional quasilinear hyperbolic equations. Zbl 1336.65140
Mohanty, R. K.; Kumar, Ravindra 

2014

High accuracy nonpolynomial spline in compression method for onespace dimensional quasilinear hyperbolic equations with significant first order space derivative term. Zbl 1334.65172
Mohanty, R. K.; Gopal, Venu 

2014

A new high order space derivative discretization for 3D quasilinear hyperbolic partial differential equations. Zbl 1410.65321
Mohanty, R. K.; Singh, Suruchi; Singh, Swarn 

2014

A new high accuracy nonpolynomial tension spline method for the solution of one dimensional wave equation in polar coordinates. Zbl 1311.65110
Gopal, Venu; Mohanty, R. K.; Saha, L. M. 

2014

Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application. Zbl 1291.65232
Jha, Navnit; Mohanty, R. K. 

2014

A new compact offstep discretization for the system of 2D quasilinear elliptic equations on unequal mesh. Zbl 1294.35028
Mohanty, R. K.; Setia, N. 

2014

High accuracy cubic spline approximation for two dimensional quasilinear elliptic boundary value problems. Zbl 1349.65569
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika 

2013

A new offstep high order approximation for the solution of threespace dimensional nonlinear wave equations. Zbl 1352.65254
Mohanty, R. K.; Gopal, Venu 

2013

A new compact high order offstep discretization for the system of 2D quasilinear elliptic partial differential equations. Zbl 1380.65327
Mohanty, Ranjan K.; Setia, Nikita 

2013

A new high order compact offstep discretization for the system of 3D quasilinear elliptic partial differential equations. Zbl 1426.65155
Mohanty, R. K.; Setia, Nikita 

2013

A fourthorder finite difference method based on spline in tension approximation for the solution of onespace dimensional secondorder quasilinear hyperbolic equations. Zbl 1380.65169
Mohanty, Ranjan K.; Gopal, Venu 

2013

New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates. Zbl 1292.65090
Gopal, Venu; Mohanty, R. K.; Jha, Navnit 

2013

A new high accuracy offstep discretisation for the solution of 2D nonlinear triharmonic equations. Zbl 1290.65099
Singh, Swarn; Singh, Suruchi; Mohanty, R. K. 

2013

Geometric mesh threepoint discretization for fourthorder nonlinear singular differential equations in polar system. Zbl 1292.65084
Jha, Navnit; Mohanty, R. K.; Chauhan, Vinod 

2013

A new threelevel implicit cubic spline method for the solution of 1D quasilinear hyperbolic equations. Zbl 1328.65180
Mohanty, R. K.; Jain, M. K.; Singh, Suruchi 

2013

A new high accuracy twolevel implicit offstep discretization for the system of two space dimensional quasilinear parabolic partial differential equations. Zbl 1308.65146
Mohanty, R. K.; Setia, Nikita 

2012

A class of numerical methods for the solution of fourthorder ordinary differential equations in polar coordinates. Zbl 1250.65105
Talwar, Jyoti; Mohanty, R. K. 

2012

A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order offstep discretization for the solution of two point nonlinear boundary value problems. Zbl 1292.65085
Mohanty, R. K.; Talwar, Jyoti 

2012

High order variable mesh approximation for the solutions of 1D nonlinear hyperbolic equation. Zbl 1303.65069
Mohanty, R. K.; Singh, Suruchi 

2012

A new fourthorder compact offstep discretization for the system of 2D nonlinear elliptic partial differential equations. Zbl 1287.65098
Mohanty, R. K.; Setia, Nikita 

2012

A combined arithmetic average discretization and TAGE iterative method for nonlinear two point boundary value problems with a source function in integral form. Zbl 1256.65076
Mohanty, R. K. 

2012

Cubic spline method for 1D wave equation in polar coordinates. Zbl 1239.65056
Mohanty, R. K.; Kumar, Rajive; Dahiya, Vijay 

2012

Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms. Zbl 1271.65114
Mohanty, Ranjan K.; Talwar, Jyoti 

2012

A novel numerical method of \(\mathcal O(h^4)\) for threedimensional nonlinear triharmonic equations. Zbl 1388.65136
Mohanty, R. K.; Jain, M. K.; Mishra, B. N. 

2012

Spline in compression methods for singularly perturbed 1D parabolic equations in singular coefficients. Zbl 1369.65019
Mohanty, Ranjan K.; Dahiya, Vijay; Khosla, Noopur 

2012

Cubic spline iterative method for Poisson’s equation in cylindrical polar coordinates. Zbl 1234.35170
Mohanty, R. K.; Kumar, Rajive; Dahiya, Vijay 

2012

Spline in tension methods for singularly perturbed one space dimensional parabolic equations with singular coefficients. Zbl 1261.65089
Mohanty, R. K.; Kumar, Rajive; Dahiya, Vijay 

2012

Correlation dimension and topological entropy in discrete maps. Zbl 1262.37011
Saha, L. M.; Prasad, Sadanand; Mohanty, R. K. 

2012

A new high accuracy variable mesh discretization for the solution of the system of 2D nonlinear elliptic boundary value problems. Zbl 1278.76079
Setia, Nikita; Mohanty, R. K. 

2012

High accuracy cubic spline finite difference approximation for the solution of onespace dimensional nonlinear wave equations. Zbl 1244.65127
Mohanty, R. K.; Gopal, Venu 

2011

A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form. Zbl 1219.65072
Mohanty, R. K.; Jain, M. K.; Dhall, Deepika 

2011

A new highorder approximation for the solution of twospacedimensional quasilinear hyperbolic equations. Zbl 1242.35015
Mohanty, R. K.; Singh, Suruchi 

2011

TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. Zbl 1244.65111
Jha, Navnit; Mohanty, R. K. 

2011

A compact discretization of \(O(h^4)\) for twodimensional nonlinear triharmonic equations. Zbl 1263.70030
Mohanty, R. K.; Jain, M. K.; Mishra, B. N. 

2011

A new high accuracy finite difference discretization for the solution of 2D nonlinear biharmonic equations using coupled approach. Zbl 1195.65147
Mohanty, R. K. 

2010

Singlecell compact finitedifference discretization of order two and four for multidimensional triharmonic problems. Zbl 1202.65141
Mohanty, R. K. 

2010

On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D nonlinear parabolic equations. Zbl 1197.65126
Mohanty, Ranjan Kumar 

2010

Application of AGE method to high accuracy variable mesh arithmetic average type discretization for 1D nonlinear parabolic initial boundary value problems. Zbl 1230.65096
Mohanty, R. K. 

2010

New unconditionally stable difference schemes for the solution of multidimensional telegraphic equations. Zbl 1181.65112
Mohanty, R. K. 

2009

Highaccuracy cubic spline alternating group explicit methods for 1D quasilinear parabolic equations. Zbl 1172.65047
Mohanty, R. K.; Jain, M. K. 

2009

A new coupled approach high accuracy numerical method for the solution of 3D nonlinear biharmonic equations. Zbl 1180.65137
Khattar, Dinesh; Singh, Swarn; Mohanty, R. K. 

2009

A variable mesh CSPLAGE method of accuracy \(O(k^2h_l^{1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations. Zbl 1167.65444
Mohanty, R. K. 

2009

Third order accurate variable mesh discretization and application of TAGE iterative method for the nonlinear twopoint boundary value problems with homogeneous functions in integral form. Zbl 1178.65086
Mohanty, R. K.; Dhall, Deepika 

2009

Alternating group explicit iterative method for nonlinear singular Fredholm integrodifferential boundary value problems. Zbl 1172.65070
Jha, Navnit; Mohanty, R. K.; Mishra, Bimal Kumar 

2009

A new high order two level implicit discretization for the solution of 3D nonlinear parabolic equations. Zbl 1242.65167
Mohanty, R. K.; Singh, Swarn 

2008

A twolevel implicit nonuniform mesh cubic spline method of \(O(k^2h_1^{1}+kh_1+h_1^3)\) for the parabolic equation \(\varepsilon u_{xx}=\phi(x,t,u,u_x,u_t)\). Zbl 1163.65060
Mohanty, R. K. 

2008

Stability interval for explicit difference schemes for multidimensional secondorder hyperbolic equations with significant firstorder space derivative terms. Zbl 1122.65381
Mohanty, R. K. 

2007

An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations. Zbl 1114.65105
Mohanty, R. K. 

2007

An \(O(k^{2} + kh^{2} + h^{4})\) arithmetic average discretization for the solution of 1D nonlinear parabolic equations. Zbl 1116.65105
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi 

2007

A new twolevel implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed twospace dimensional nonlinear parabolic equations. Zbl 1122.65078
Mohanty, R. K.; Singh, Swarn 

2007

The smartBLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Zbl 1123.65109
Mohanty, R. K. 

2007

Threestep BLAGE iterative method for twodimensional elliptic boundary value problems with singularity. Zbl 1127.65081
Mohanty, R. K. 

2007

A new fourth order discretization for singularly perturbed two dimensional nonlinear elliptic boundary value problems. Zbl 1093.65103
Mohanty, R. K.; Singh, Swarn 

2006

A family of nonuniform mesh tension spline methods for singularly perturbed twopoint singular boundary value problems with significant first derivatives. Zbl 1088.65071
Mohanty, R. K.; Arora, Urvashi 

2006

A class of nonuniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\). Zbl 1104.65315
Mohanty, R. K. 

2006

Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for twopoint nonlinear boundary value problems. Zbl 1088.65072
Mohanty, R. K.; Khosla, Noopur 

2006

A new highly accurate discretization for threedimensional singularly perturbed nonlinear elliptic partial differential equations. Zbl 1108.65105
Mohanty, R. K.; Singh, Swarn 

2006

A new stable variable mesh method for 1D nonlinear parabolic partial differential equations. Zbl 1105.65089
Arora, Urvashi; Karaa, Samir; Mohanty, R. K. 

2006

Fourth order nine point unequal mesh discretization for the solution of 2D nonlinear elliptic partial differential equations. Zbl 1157.65467
Mohanty, R. K.; Karaa, Samir; Arora, Urvashi 

2006

A TAGE iterative method for the solution of nonlinear singular two point boundary value problems using a sixth order discretization. Zbl 1102.65083
Mohanty, R. K.; Arora, Urvashi 

2006

A sixth order accurate AGE iterative method for nonlinear singular two point boundary value problems. Zbl 1116.65092
Mohanty, R. K.; Evans, D. J.; Jha, Navnit 

2006

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