## Ford, Neville J.

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 Author ID: ford.neville-j Published as: Ford, Neville J.; Ford, N. J.; Ford, Neville more...less External Links: ORCID
 Documents Indexed: 94 Publications since 1988, including 2 Books 3 Contributions as Editor Reviewing Activity: 238 Reviews Co-Authors: 54 Co-Authors with 93 Joint Publications 1,326 Co-Co-Authors
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### Co-Authors

 0 single-authored 17 Lima, Pedro Miguel 16 Lumb, Patricia M. 14 Baker, Christopher Thomas Hale 11 Diethelm, Kai 11 Yan, Yubin 9 Rebelo, Magda S. 8 Teodoro, M. Filomena 7 Diogo, Teresa 6 Edwards, John T. 6 Ford, Judith M. 5 Morgado, Maria Luísa 4 Ferrás, Luis L. 4 Norton, Stewart J. 4 Wulf, Volker 4 Xiao, Jingyu 3 Freed, Alan David 3 Roberts, Jason A. 3 Rodrigues, Maria Manuela 3 Simpson, A. Charles 2 Bocharov, Gennady A. 2 Connolly, Joseph A. 2 Filiz, Ali 2 Malique, Md. Abdul 2 Nóbrega, João M. 2 Pal, Kamal 2 Paul, Christopher A. H. 2 Rihan, Fathalla A. 2 Tang, Arsalang 2 Thomas, Sophy M. 2 Willé, David R. 1 Chen, Ke 1 Ekaka-A, Enu-Obari N. 1 Fermo, Luisa 1 Ferreira, José Manuel 1 Frischmuth, Kurt 1 Jackiewicz, Zdzislaw 1 Khan, Monzorul 1 Li, Zhiqiang 1 Luchko, Yurii F. 1 McKinley, Gareth H. 1 Moayyed, H. 1 Morgado, Luisa 1 Pinelas, Sandra 1 Savostyanov, Dmitry V. 1 Sequeira, Adélia 1 Valtchev, Svilen S. 1 Verduyn Lunel, Sjoerd M. 1 Vieira, Nelson 1 Weilbeer, Marc 1 Woodroffe, Mark 1 Xu, Yuesheng 1 Yang, Yan 1 Zamarashkin, Nikolai L. 1 Zhao, Jingjun
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### Serials

 23 Journal of Computational and Applied Mathematics 7 Applied Numerical Mathematics 7 Fractional Calculus & Applied Analysis 4 Applied Mathematics and Computation 4 Numerical Algorithms 4 Computational Methods in Applied Mathematics 3 Journal of Integral Equations and Applications 2 BIT 2 Boletim da Sociedade Portuguesa de Matemática 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 2 Communications on Pure and Applied Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Rostocker Mathematisches Kolloquium 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Greek Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Parallel Algorithms and Applications 1 Nonlinear Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Stochastics and Dynamics 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 International Journal of Numerical Analysis and Modeling 1 Mathematics in Computer Science 1 Frontiers of Mathematics in China 1 Fractional Differential Calculus
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### Fields

 82 Numerical analysis (65-XX) 49 Ordinary differential equations (34-XX) 33 Integral equations (45-XX) 15 Real functions (26-XX) 12 Partial differential equations (35-XX) 5 Biology and other natural sciences (92-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

82 Publications have been cited 3,263 times in 2,195 Documents Cited by Year
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2004
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
2005
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
2004
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
2002
A finite element method for time fractional partial differential equations. Zbl 1273.65142
Ford, Neville J.; Xiao, Jingyu; Yan, Yubin
2011
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
2009
The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062
Ford, Neville J.; Simpson, A. Charles
2001
The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048
Edwards, John T.; Ford, Neville J.; Simpson, A. Charles
2002
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
2006
An analysis of the modified $$L1$$ scheme for time-fractional partial differential equations with nonsmooth data. Zbl 1381.65070
Yan, Yubin; Khan, Monzorul; Ford, Neville J.
2018
Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214
Morgado, M. L.; Ford, N. J.; Lima, P. M.
2013
Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098
Ford, Neville J.; Morgado, M. Luísa
2011
Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124
Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda
2013
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
2014
Numerical Hopf bifurcation for a class of delay differential equations. Zbl 0946.65065
Wulf, Volker; Ford, Neville J.
2000
Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J.
2014
Distributed order equations as boundary value problems. Zbl 1268.45005
Ford, N. J.; Morgado, M. L.
2012
Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111
Baker, Christopher T. H.; Ford, Neville J.
1992
Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066
Ford, Neville J.; Connolly, Joseph A.
2009
The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations. Zbl 0941.65132
Ford, Neville J.; Wulf, Volker
1999
Comparison of numerical methods for fractional differential equations. Zbl 1133.65115
Ford, Neville J.; Connolly, Joseph A.
2006
An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. Zbl 1377.65102
Ford, Neville J.; Yan, Yubin
2017
An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130
Ford, N. J.; Morgado, M. L.; Rebelo, M.
2015
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
2012
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
2001
Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Zbl 1357.65198
Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J.
2017
A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132
Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson
2013
Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187
Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin
2013
A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076
Ford, N. J.; Morgado, M. L.; Rebelo, M.
2015
Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089
Li, Zhiqiang; Yan, Yubin; Ford, Neville J.
2017
Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035
Ford, Neville J.; Lumb, Patricia M.
2009
An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173
Ford, Neville J.; Pal, Kamal; Yan, Yubin
2015
Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137
Ford, Neville J.; Baker, Christopher T. H.
1996
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119
Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen
2006
Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152
Baker, Christopher T. H.; Ford, Neville J.
1991
High order numerical methods for fractional terminal value problems. Zbl 1285.65049
Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda
2014
New approach to the numerical solution of forward-backward equations. Zbl 1396.65103
Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M.
2009
Numerical analysis of a singular integral equation. Zbl 1082.65140
Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M.
2005
Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154
Ford, Neville J.; Xiao, Jingyu; Yan, Yubin
2012
The numerical solution of forward-backward differential equations: decomposition and related issues. Zbl 1191.65082
Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, M. Filomena
2010
Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088
Frischmuth, Kurt; Ford, Neville J.; Edwards, John T.
1997
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
2018
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097
Baker, Christopher T. H.; Ford, Neville J.
1990
Analytical and numerical investigation of mixed-type functional differential equations. Zbl 1191.65084
Lima, Pedro M.; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M.
2010
Fractional Pennes’ bioheat equation: theoretical and numerical studies. Zbl 1326.35415
Ferrás, Luis L.; Ford, Neville J.; Morgado, Maria L.; Nóbrega, João M.; Rebelo, Magda S.
2015
How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068
Ford, Neville J.; Wulf, Volker
2000
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
2004
Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053
Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu
2010
Nonlinear Volterra integro-differential equations – stability and numerical stability of $$\theta$$-methods. Zbl 0944.65150
Ford, Neville J.; Baker, Christopher T. H.; Roberts, J. A.
1998
Solution of a singular integral equation by a split-interval method. Zbl 1116.65129
Diogo, Teresa; Ford, Neville J.; Lima, Pedro M.; Thomas, Sophy M.
2007
Numerical modelling of a functional differential equation with deviating arguments using a collocation method. Zbl 1167.65409
Teodoro, M. F.; Ford, N. J.; Lima, P. M.; Lumb, P.
2008
On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027
Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L.
2014
Boundedness and stability of solutions to difference equations. Zbl 1002.39025
Edwards, John T.; Ford, Neville J.
2002
Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059
Ford, Neville J.; Verduyn Lunel, Sjoerd M.
2002
Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154
Edwards, John T.; Ford, Neville J.; Roberts, Jason A.
2003
Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091
Wulf, Volker; Ford, Neville J.
1998
Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082
Ford, Neville J.; Morgado, M. Luísa
2013
Finite element solution of a linear mixed-type functional differential equation. Zbl 1200.65054
Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M.
2010
Numerical modelling of qualitative behaviour of solutions to convolution integral equations. Zbl 1125.65118
Ford, Neville J.; Diogo, Teresa; Ford, Judith M.; Lima, Pedro
2007
Numerical approaches to delay equations with small solutions. Zbl 1030.65080
Ford, Neville J.; Lumb, Patricia M.
2002
Analysis and computational approximation of a forward-backward equation arising in nerve conduction. Zbl 1320.34106
Lima, P. M.; Teodoro, M. F.; Ford, N. J.; Lumb, P. M.
2013
Numerical investigation of $$D$$-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063
Ford, Neville J.; Norton, Stewart J.
2005
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
1988
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2000
Introducing formal methods: a less mathematical approach. Zbl 0850.68232
Ford, Neville; Ford, Judith
1993
Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018
Ford, J. M.; Ford, N. J.; Wheeler, J.
2004
Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Zbl 1411.65019
Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M.
2017
Numerical modelling by delay and Volterra functional differential equations. Zbl 1094.65133
Baker, C. T. H.; Bocharov, G. A.; Filiz, A.; Ford, N. J.; Paul, C. A. H.; Rihan, F. A.; Tang, A.; Thomas, R. M.; Tian, H.; Willé, D. R.
2001
An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058
Ford, Neville J.; Lumb, Patricia M.
2006
Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Zbl 1227.65061
Ferreira, José M.; Ford, Neville J.; Malique, Md. Abdul; Pinelas, Sandra; Yan, Yubin
2011
Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. Zbl 1295.65078
Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M.
2014
Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083
Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul
2010
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096
Baker, Christopher T. H.; Ford, Neville J.
1993
Flexible parallelization of fast wavelet transforms. Zbl 1054.65132
Ford, Judith M.; Chen, Ke; Ford, Neville J.
2003
Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336
Norton, Stewart J.; Ford, Neville J.
2006
Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061
Baker, Christopher T. H.; Ford, Neville J.
2020
High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. Zbl 07465789
Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda
2021
Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008
Ford, N. J.; Morgado, M. L.
2013
Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries. Zbl 1410.76286
Ferrás, L. L.; Ford, Neville J.; Morgado, Maria Luísa; Rebelo, Magda; McKinley, Gareth H.; Nóbrega, João M.
2018
High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations. Zbl 07465789
Ferrás, Luís L.; Ford, Neville; Morgado, Maria Luísa; Rebelo, Magda
2021
Characteristic functions of differential equations with deviating arguments. Zbl 1443.34061
Baker, Christopher T. H.; Ford, Neville J.
2020
An analysis of the modified $$L1$$ scheme for time-fractional partial differential equations with nonsmooth data. Zbl 1381.65070
Yan, Yubin; Khan, Monzorul; Ford, Neville J.
2018
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
2018
Theoretical and numerical analysis of unsteady fractional viscoelastic flows in simple geometries. Zbl 1410.76286
Ferrás, L. L.; Ford, Neville J.; Morgado, Maria Luísa; Rebelo, Magda; McKinley, Gareth H.; Nóbrega, João M.
2018
An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data. Zbl 1377.65102
Ford, Neville J.; Yan, Yubin
2017
Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Zbl 1357.65198
Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J.
2017
Error estimates of a high order numerical method for solving linear fractional differential equations. Zbl 1357.65089
Li, Zhiqiang; Yan, Yubin; Ford, Neville J.
2017
Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. Zbl 1411.65019
Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M.
2017
An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Zbl 1330.65130
Ford, N. J.; Morgado, M. L.; Rebelo, M.
2015
A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076
Ford, N. J.; Morgado, M. L.; Rebelo, M.
2015
An algorithm for the numerical solution of two-sided space-fractional partial differential equations. Zbl 1327.65173
Ford, Neville J.; Pal, Kamal; Yan, Yubin
2015
Fractional Pennes’ bioheat equation: theoretical and numerical studies. Zbl 1326.35415
Ferrás, Luis L.; Ford, Neville J.; Morgado, Maria L.; Nóbrega, João M.; Rebelo, Magda S.
2015
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
2014
Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J.
2014
High order numerical methods for fractional terminal value problems. Zbl 1285.65049
Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda
2014
On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027
Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L.
2014
Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. Zbl 1295.65078
Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M.
2014
Analysis and numerical methods for fractional differential equations with delay. Zbl 1291.65214
Morgado, M. L.; Ford, N. J.; Lima, P. M.
2013
Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124
Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda
2013
A numerical method for the fractional Schrödinger type equation of spatial dimension two. Zbl 1312.65132
Ford, Neville; Rodrigues, M. Manuela; Vieira, Nelson
2013
Numerical analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187
Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin
2013
Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082
Ford, Neville J.; Morgado, M. Luísa
2013
Analysis and computational approximation of a forward-backward equation arising in nerve conduction. Zbl 1320.34106
Lima, P. M.; Teodoro, M. F.; Ford, N. J.; Lumb, P. M.
2013
Numerical methods for multi-term fractional boundary value problems. Zbl 1320.34008
Ford, N. J.; Morgado, M. L.
2013
Distributed order equations as boundary value problems. Zbl 1268.45005
Ford, N. J.; Morgado, M. L.
2012
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
2012
Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154
Ford, Neville J.; Xiao, Jingyu; Yan, Yubin
2012
A finite element method for time fractional partial differential equations. Zbl 1273.65142
Ford, Neville J.; Xiao, Jingyu; Yan, Yubin
2011
Fractional boundary value problems: analysis and numerical methods. Zbl 1273.65098
Ford, Neville J.; Morgado, M. Luísa
2011
Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances. Zbl 1227.65061
Ferreira, José M.; Ford, Neville J.; Malique, Md. Abdul; Pinelas, Sandra; Yan, Yubin
2011
The numerical solution of forward-backward differential equations: decomposition and related issues. Zbl 1191.65082
Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, M. Filomena
2010
Analytical and numerical investigation of mixed-type functional differential equations. Zbl 1191.65084
Lima, Pedro M.; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M.
2010
Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053
Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu
2010
Finite element solution of a linear mixed-type functional differential equation. Zbl 1200.65054
Lima, Pedro Miguel; Teodoro, M. Filomena; Ford, Neville J.; Lumb, Patricia M.
2010
Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083
Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul
2010
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
2009
Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066
Ford, Neville J.; Connolly, Joseph A.
2009
Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035
Ford, Neville J.; Lumb, Patricia M.
2009
New approach to the numerical solution of forward-backward equations. Zbl 1396.65103
Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M.
2009
Numerical modelling of a functional differential equation with deviating arguments using a collocation method. Zbl 1167.65409
Teodoro, M. F.; Ford, N. J.; Lima, P. M.; Lumb, P.
2008
Solution of a singular integral equation by a split-interval method. Zbl 1116.65129
Diogo, Teresa; Ford, Neville J.; Lima, Pedro M.; Thomas, Sophy M.
2007
Numerical modelling of qualitative behaviour of solutions to convolution integral equations. Zbl 1125.65118
Ford, Neville J.; Diogo, Teresa; Ford, Judith M.; Lima, Pedro
2007
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
2006
Comparison of numerical methods for fractional differential equations. Zbl 1133.65115
Ford, Neville J.; Connolly, Joseph A.
2006
Numerical methods for a Volterra integral equation with nonsmooth solutions. Zbl 1092.65119
Diogo, Teresa; Ford, Neville J.; Lima, Pedro; Valtchev, Svilen
2006
An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058
Ford, Neville J.; Lumb, Patricia M.
2006
Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336
Norton, Stewart J.; Ford, Neville J.
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
2005
Numerical analysis of a singular integral equation. Zbl 1082.65140
Diogo, Teresa; Edwards, John T.; Ford, Neville J.; Thomas, Sophy M.
2005
Numerical investigation of $$D$$-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063
Ford, Neville J.; Norton, Stewart J.
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2004
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
2004
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
2004
Simulation of grain-boundary diffusion creep: analysis of some new numerical techniques. Zbl 1321.74018
Ford, J. M.; Ford, N. J.; Wheeler, J.
2004
Bifurcations in numerical methods for Volterra integro-differential equations. Zbl 1064.65154
Edwards, John T.; Ford, Neville J.; Roberts, Jason A.
2003
Flexible parallelization of fast wavelet transforms. Zbl 1054.65132
Ford, Judith M.; Chen, Ke; Ford, Neville J.
2003
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
2002
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
2002
The numerical solution of linear multi-term fractional differential equations: Systems of equations. Zbl 1019.65048
Edwards, John T.; Ford, Neville J.; Simpson, A. Charles
2002
Boundedness and stability of solutions to difference equations. Zbl 1002.39025
Edwards, John T.; Ford, Neville J.
2002
Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059
Ford, Neville J.; Verduyn Lunel, Sjoerd M.
2002
Numerical approaches to delay equations with small solutions. Zbl 1030.65080
Ford, Neville J.; Lumb, Patricia M.
2002
The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062
Ford, Neville J.; Simpson, A. Charles
2001
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
2001
Numerical modelling by delay and Volterra functional differential equations. Zbl 1094.65133
Baker, C. T. H.; Bocharov, G. A.; Filiz, A.; Ford, N. J.; Paul, C. A. H.; Rihan, F. A.; Tang, A.; Thomas, R. M.; Tian, H.; Willé, D. R.
2001
Numerical Hopf bifurcation for a class of delay differential equations. Zbl 0946.65065
Wulf, Volker; Ford, Neville J.
2000
How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068
Ford, Neville J.; Wulf, Volker
2000
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2000
The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations. Zbl 0941.65132
Ford, Neville J.; Wulf, Volker
1999
Nonlinear Volterra integro-differential equations – stability and numerical stability of $$\theta$$-methods. Zbl 0944.65150
Ford, Neville J.; Baker, Christopher T. H.; Roberts, J. A.
1998
Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091
Wulf, Volker; Ford, Neville J.
1998
Volterra integral equations with non-Lipschitz nonlinearity. Zbl 0897.65088
Frischmuth, Kurt; Ford, Neville J.; Edwards, John T.
1997
Qualitative behaviour and stability of solutions of discretised nonlinear Volterra integral equations of convolution type. Zbl 0858.65137
Ford, Neville J.; Baker, Christopher T. H.
1996
Introducing formal methods: a less mathematical approach. Zbl 0850.68232
Ford, Neville; Ford, Judith
1993
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0794.65096
Baker, Christopher T. H.; Ford, Neville J.
1993
Stability properties of a scheme for the approximate solution of a delay- integro-differential equation. Zbl 0754.65111
Baker, Christopher T. H.; Ford, Neville J.
1992
Some applications of the boundary-locus method and the method of D- partitions. Zbl 0726.65152
Baker, Christopher T. H.; Ford, Neville J.
1991
Asymptotic error expansions for linear multistep methods for a class of delay integro-differential equations. Zbl 0746.65097
Baker, Christopher T. H.; Ford, Neville J.
1990
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
1988
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