Explicit difference schemes for a pseudoparabolic equation with an integral condition

Jachimavičienė, Justina

doi:10.15388/lmr.a.2012.07

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Finite Difference Scheme 21 Three-layer Explicit Scheme1

Introduction1

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Cited by 2 publications

(2 citation statements)

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“…To this aim, we use specific approximation of the third-order derivative. As far as the authors are aware, such approximation firstly was used for solution of pseudoparabolic equation in [27,28].…”

Section: Finite Difference Scheme 21 Three-layer Explicit Schemementioning

confidence: 99%

On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions

Jachimavičienė¹,

Sapagovas²,

Štikonas³

et al. 2014

NAMC

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A new explicit conditionally consistent finite difference scheme for one-dimensional third-order linear pseudoparabolic equation with nonlocal conditions is constructed. The stability of the finite difference scheme is investigated by analysing a nonlinear eigenvalue problem. The stability conditions are stated and stability regions are described. Some numerical experiments are presented in order to validate theoretical results.

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Section: Finite Difference Scheme 21 Three-layer Explicit Schemementioning

confidence: 99%

On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions

Jachimavičienė¹,

Sapagovas²,

Štikonas³

et al. 2014

NAMC

Self Cite

View full text Add to dashboard Cite

show abstract

“…The implicit finite difference techniques were effectively used by the authors in [3] for various problems. Pseudo-parabola implementations are displayed in [5,6], [9]. In this manuscript, the following pseudo-hyperbolic partial differential equations are taken into consideration:…”

Section: Introductionmentioning

confidence: 99%

Explicit Finite Difference Analysis of Pseudo-Hyperbolic Partial Differential Equations

Modanlı

Abdulazeez

Akgül

2022

Preprint

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The explicit finite difference method is suggested in this publication to resolve pseudo-hyperbolic partial differential equations. An explicit finite difference scheme is developed for the suggested problem. The estimated and exact solutions are compared to create the error analysis table. The stability inequalities for this difference scheme are demonstrated using matrix analysis. An example is illustrated as an implementation of the finite difference scheme method. The results show that the proposed method is very accurate and convenient. The solutions are represented graphically. Other numerical methods can be applied to investigate pseudo-hyperbolic partial differential equations.

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Explicit difference schemes for a pseudoparabolic equation with an integral condition

Abstract: The aim of this paper is to analyze three layer explicit schemes for a pseudoparabolic equation with different boundary conditions, including nonlocal ones. The numerical results are presented.

Cited by 2 publications

References 0 publications

On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions

On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions

Explicit Finite Difference Analysis of Pseudo-Hyperbolic Partial Differential Equations

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