Stability and convergence of high-order difference schemes for parabolic partial differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01089752 ◽

1981 ◽

Vol 32 (3) ◽

pp. 189-196

Author(s):

Kh. A. Alibekov ◽

P. E. Sobolevskii

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Schemes ◽

Stability And Convergence ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference

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High order difference methods for system of id nonlinear parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207169008803938 ◽

1990 ◽

Vol 37 (1-2) ◽

pp. 105-112 ◽

Author(s):

M.K. Jain ◽

R.K. Jain ◽

R.K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference ◽

Nonlinear Parabolic ◽

Difference Methods

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Accelerating technique for implicit finite difference schemes for two dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160108805056 ◽

2001 ◽

Vol 77 (1) ◽

pp. 135-144 ◽

Author(s):

Elsayed M.E.M Elbarbary

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Implicit Finite Difference

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High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1437260 ◽

2018 ◽

Vol 96 (3) ◽

pp. 500-536 ◽

Author(s):

Jun Liu ◽

Hui Guo ◽

Yao-Lin Jiang ◽

Yan Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Algorithms ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Partial Differential

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A higher order difference method for singularly perturbed parabolic partial differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1420792 ◽

2018 ◽

Vol 24 (3) ◽

pp. 452-477 ◽

Author(s):

Pratibhamoy Das

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Method ◽

Higher Order ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference

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Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.10.011 ◽

2017 ◽

Vol 112 ◽

pp. 126-145 ◽

Author(s):

Yanyan Yu ◽

Weihua Deng ◽

Yujiang Wu ◽

Jing Wu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Schemes ◽

Fractional Partial Differential Equations ◽

Third Order ◽

Partial Differential ◽

Order Difference

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Stability and convergence via Lyapunov-like functionals of stochastic parabolic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.08.032 ◽

2004 ◽

Vol 157 (1) ◽

pp. 201-218 ◽

Author(s):

M.J. Anabtawi ◽

S. Sathananthan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stability And Convergence ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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On finite difference schemes for degenerate stochastic parabolic partial differential equations

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0584-3 ◽

2011 ◽

Vol 179 (1) ◽

pp. 100-126 ◽

Author(s):

I. Gyöngy

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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On convergence in theL 2 norm of difference schemes for systems of parabolic partial differential equations

Lithuanian Mathematical Journal ◽

10.1007/bf00970937 ◽

1993 ◽

Vol 33 (3) ◽

pp. 208-216 ◽

Author(s):

Raim Čiegis ◽

Rem Čiegis ◽

M. Meilūnas

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Schemes ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms

International Journal of Computer Mathematics ◽

10.1080/00207169108803961 ◽

1991 ◽

Vol 38 (1-2) ◽

pp. 101-112 ◽

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Method ◽

Higher Order ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference ◽

First Derivative

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High Order Finite Difference Schemes for Partial Differential Equations (Minisymposium #26)

10.1063/1.3241266 ◽

2009 ◽

Author(s):

Murli M. Gupta ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Partial Differential ◽

High Order Finite Difference

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