AN EFFICIENT NUMERICAL TECHNIQUE FOR SOLVING HEAT EQUATION WITH NONLOCAL BOUNDARY CONDITIONS

AN EFFICIENT NUMERICAL TECHNIQUE FOR SOLVING HEAT EQUATION WITH NONLOCAL BOUNDARY CONDITIONS

A third order parallel algorithm is proposed to solve one dimensional non-homogenous heat equation with integral boundary conditions. For this purpose, we approximate the space derivative by third order finite difference approximation. This parallel splitting technique is combined with Simpson'...

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Veröffentlicht in:Advances in the theory of nonlinear analysis and its applications 2022-06, Vol.6 (2), p.157-167
Hauptverfasser: HAMMOUCH, Zakia, ZAHRA, Anam, REHMAN, Azız, MARDAN, Syed Ali
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container_title Advances in the theory of nonlinear analysis and its applications
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creator HAMMOUCH, Zakia
ZAHRA, Anam
REHMAN, Azız
MARDAN, Syed Ali
description A third order parallel algorithm is proposed to solve one dimensional non-homogenous heat equation with integral boundary conditions. For this purpose, we approximate the space derivative by third order finite difference approximation. This parallel splitting technique is combined with Simpson's 1/3 rule to tackle the nonlocal part of this problem. The algorithm develop here is tested on two model problems. We conclude that our method provides better accuracy due to availability of real arithmetic.
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title AN EFFICIENT NUMERICAL TECHNIQUE FOR SOLVING HEAT EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
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