# zbMATH — the first resource for mathematics

## Ford, Neville J.

Compute Distance To:
 Author ID: ford.neville-j Published as: Ford, N. J.; Ford, Neville; Ford, Neville J. External Links: ORCID
 Documents Indexed: 96 Publications since 1988, including 3 Books Reviewing Activity: 227 Reviews
all top 5

#### Co-Authors

 0 single-authored 17 Lima, Pedro Miguel 16 Lumb, Patricia M. 14 Baker, Christopher T. H. 11 Diethelm, Kai 11 Morgado, Maria Luísa 11 Yan, Yubin 8 Rebelo, Magda S. 8 Teodoro, M. Filomena 7 Diogo, Teresa 6 Edwards, John T. 6 Ford, Judith M. 4 Norton, Stewart J. 4 Wulf, Volker 4 Xiao, Jingyu 3 Ferrás, Luis L. 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 Morgado, Luisa 2 Nóbrega, João M. 2 Pal, Kamal 2 Paul, Christopher A. H. 2 Rihan, Fathalla A. 2 Tang, Arsalang 2 Thomas, Sophy M. 2 Tian, Huawei 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 Pinelas, Sandra 1 Savostyanov, Dmitry V. 1 Sequeira, Adélia 1 Thomas, R. M. C. 1 Thomas, Richard M. 1 Valtchev, Svilen S. 1 Verduyn Lunel, Sjoerd M. 1 Vieira, Nelson 1 Weilbeer, Marc 1 Wheeler, James T. 1 Woodroffe, Mark 1 Xu, Yuesheng 1 Yang, Yan 1 Zamarashkin, Nikolai L. 1 Zhao, Jingjun
all top 5

#### 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 Frontiers of Mathematics in China 1 Fractional Differential Calculus
all top 5

#### Fields

 81 Numerical analysis (65-XX) 49 Ordinary differential equations (34-XX) 32 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

80 Publications have been cited 2,718 times in 1,764 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
The numerical solution of fractional differential equations: speed versus accuracy. Zbl 0976.65062
Ford, Neville J.; Simpson, A. Charles
2001
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 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
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
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
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; Ford, Neville J.
2014
Nonpolynomial collocation approximation of solutions to fractional differential equations. Zbl 1312.65124
Ford, Neville J.; Morgado, M. Luísa; Rebelo, Magda
2013
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
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
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
Distributed order equations as boundary value problems. Zbl 1268.45005
Ford, N. J.; Morgado, M. L.
2012
Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. Zbl 1166.65066
Ford, Neville J.; Connolly, Joseph A.
2009
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
Comparison of numerical methods for fractional differential equations. Zbl 1133.65115
Ford, Neville J.; Connolly, Joseph A.
2006
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 solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
2001
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
2012
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 analysis of a two-parameter fractional telegraph equation. Zbl 1302.65187
Ford, Neville J.; Rodrigues, M. Manuela; Xiao, Jingyu; Yan, Yubin
2013
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
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
Mixed-type functional differential equations: A numerical approach. Zbl 1166.65035
Ford, Neville J.; Lumb, Patricia M.
2009
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
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
A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076
Ford, N. J.; Morgado, M. L.; Rebelo, M.
2015
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
Convergence of linear multistep methods for a class of delay-integro- differential equations. Zbl 0656.65117
Baker, Christopher T. H.; Ford, Neville J.
1988
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
Some time stepping methods for fractional diffusion problems with nonsmooth data. Zbl 1383.65097
Yang, Yan; Yan, Yubin; Ford, Neville J.
2018
Stability of a numerical method for a space-time-fractional telegraph equation. Zbl 1284.65154
Ford, Neville J.; Xiao, Jingyu; Yan, Yubin
2012
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
High order numerical methods for fractional terminal value problems. Zbl 1285.65049
Ford, Neville J.; Morgado, Maria L.; Rebelo, Magda
2014
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
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
How do numerical methods perform for delay differential equations undergoing a Hopf bifurcation? Zbl 0971.65068
Ford, Neville J.; Wulf, Volker
2000
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
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
2018
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
Bifurcations in approximate solutions of stochastic delay differential equations. Zbl 1080.34053
Baker, Christopher T. H.; Ford, Judith M.; Ford, Neville J.
2004
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
Mathematical modelling of plant species interactions in a harsh climate. Zbl 1191.92053
Ford, Neville J.; Lumb, Patricia M.; Ekaka-A, Enu
2010
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
Boundedness and stability of solutions to difference equations. Zbl 1002.39025
Edwards, John T.; Ford, Neville J.
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
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
Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059
Ford, Neville J.; Verduyn Lunel, Sjoerd M.
2002
Preserving transient behaviour in numerical solutions of Volterra integral equations of convolution type. Zbl 0965.65146
Ford, Neville J.; Baker, Christopher T. H.
2000
On the decay of the elements of inverse triangular Toeplitz matrices. Zbl 1317.15027
Ford, Neville J.; Savostyanov, Dmitry V.; Zamarashkin, Nickolai L.
2014
Numerical investigation of $$D$$-bifurcations for a stochastic delay logistic equation. Zbl 1073.60063
Ford, Neville J.; Norton, Stewart J.
2005
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
Introducing formal methods: a less mathematical approach. Zbl 0850.68232
Ford, Neville; Ford, Judith
1993
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
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
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 methods for multi-term fractional boundary value problems. Zbl 1320.34008
Ford, N. J.; Morgado, M. L.
2013
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
Numerical treatment of oscillatory functional differential equations. Zbl 1191.65083
Ford, Neville J.; Yan, Yubin; Malique, Md. Abdul
2010
Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336
Norton, Stewart J.; Ford, Neville J.
2006
An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058
Ford, Neville J.; Lumb, Patricia M.
2006
Flexible parallelization of fast wavelet transforms. Zbl 1054.65132
Ford, Judith M.; Chen, Ke; Ford, Neville J.
2003
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
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
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
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
A nonpolynomial collocation method for fractional terminal value problems. Zbl 1297.65076
Ford, N. J.; Morgado, M. L.; Rebelo, M.
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
Collocation methods for fractional integro-differential equations with weakly singular kernels. Zbl 1298.65197
Zhao, Jingjun; Xiao, Jingyu; Ford, Neville J.
2014
Higher order numerical methods for solving fractional differential equations. Zbl 1304.65173
Yan, Yubin; Pal, Kamal; 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
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
Stability, structural stability and numerical methods for fractional boundary value problems. Zbl 1262.65082
Ford, Neville J.; Morgado, M. Luísa
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
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
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
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
Predicting changes in dynamical behaviour in solutions to stochastic delay differential equations. Zbl 1135.34336
Norton, Stewart J.; Ford, Neville J.
2006
An algorithm to detect small solutions in linear delay differential equations. Zbl 1092.65058
Ford, Neville J.; Lumb, Patricia M.
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
Numerical approaches to delay equations with small solutions. Zbl 1030.65080
Ford, Neville J.; Lumb, Patricia M.
2002
Characterising small solutions in delay differential equations through numerical approximations. Zbl 1030.34059
Ford, Neville J.; Verduyn Lunel, Sjoerd 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
Insight into the qualitative behaviour of numerical solutions to some delay differential equations. Zbl 0944.65091
Wulf, Volker; Ford, Neville J.
1998
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
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
all top 5

#### Cited by 2,454 Authors

 111 Journal of Computational and Applied Mathematics 95 Nonlinear Dynamics 88 Applied Mathematics and Computation 87 Computers & Mathematics with Applications 77 Fractional Calculus & Applied Analysis 72 Chaos, Solitons and Fractals 68 Advances in Difference Equations 64 Applied Numerical Mathematics 57 Communications in Nonlinear Science and Numerical Simulation 53 Abstract and Applied Analysis 43 Journal of Computational Physics 40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Applied Mathematical Modelling 34 Mathematical Problems in Engineering 33 Numerical Algorithms 32 Journal of Scientific Computing 23 Discrete Dynamics in Nature and Society 22 Journal of Mathematical Analysis and Applications 22 Computational and Applied Mathematics 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Chaos 18 Applied Mathematics Letters 18 SIAM Journal on Scientific Computing 16 International Journal of Computer Mathematics 15 Complexity 14 SIAM Journal on Numerical Analysis 13 Mathematical Methods in the Applied Sciences 12 Computer Methods in Applied Mechanics and Engineering 12 Mediterranean Journal of Mathematics 11 Journal of Vibration and Control 11 Journal of Applied Mathematics and Computing 11 Advances in Mathematical Physics 10 Fractional Differential Calculus 10 Mathematics 9 Mathematics and Computers in Simulation 9 International Journal of Biomathematics 8 Journal of the Franklin Institute 8 Journal of Integral Equations and Applications 8 Signal Processing 8 Differential Equations and Dynamical Systems 8 Computational Methods in Applied Mathematics 8 Journal of Applied Mathematics 8 International Journal of Applied and Computational Mathematics 7 Engineering Analysis with Boundary Elements 7 International Journal of Nonlinear Sciences and Numerical Simulation 7 Journal of Nonlinear Science and Applications 7 International Journal of Differential Equations 6 Calcolo 6 Journal of Optimization Theory and Applications 6 Numerical Functional Analysis and Optimization 6 Advances in Computational Mathematics 6 Discrete and Continuous Dynamical Systems. Series B 6 Boundary Value Problems 6 Mathematical Modelling of Natural Phenomena 6 Asian Journal of Control 6 Open Mathematics 5 Physica A 5 Mathematical and Computer Modelling 5 Nonlinear Analysis. Modelling and Control 5 Nonlinear Analysis. Hybrid Systems 5 S$$\vec{\text{e}}$$MA Journal 4 Automatica 4 Physica D 4 Computational Mechanics 4 Numerical Methods for Partial Differential Equations 4 Journal of the Egyptian Mathematical Society 4 Fractals 4 Journal of Inverse and Ill-Posed Problems 4 Journal of Difference Equations and Applications 4 Frontiers of Mathematics in China 4 Journal of Mathematics 4 East Asian Journal on Applied Mathematics 4 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Communications on Applied Mathematics and Computation 3 International Journal of Modern Physics B 3 Acta Mechanica 3 Reports on Mathematical Physics 3 BIT 3 Numerische Mathematik 3 Applied Mathematics and Mechanics. (English Edition) 3 Neural Networks 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Nonlinear Analysis. Real World Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Discrete and Continuous Dynamical Systems. Series S 3 Tbilisi Mathematical Journal 3 Symmetry 3 Journal of Applied Analysis and Computation 3 Mathematical Sciences 3 Journal of Function Spaces 2 Applicable Analysis 2 Computers and Fluids 2 International Journal of Control 2 International Journal of Theoretical Physics 2 Inverse Problems 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Biosciences 2 Mathematics of Computation 2 Circuits, Systems, and Signal Processing ...and 138 more Serials