Nonstandard finite difference approximation for a generalized Fins problem

A. A. Aderogba; O. O. Fabelurin; S. O. Akindeinde; A. O. Adewumi; B. S. Ogundare

doi:10.1016/j.matcom.2020.06.010

Nonstandard finite difference approximation for a generalized Fins problem

A. A. Aderogba, O. O. Fabelurin, S. O. Akindeinde, A. O. Adewumi, B. S. Ogundare

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, a nonstandard finite difference scheme is employed to approximate the solution of a nonlinear second order differential equation obtained from the model of heat transfer in extended surfaces. The proposed method for the system enjoys the nonlocal approximation of nonlinear terms and requires neither any iterative procedure nor the computation of Jacobian unlike the standard finite difference method. Accuracy of the method and conditions for generating expected positive solution are also discussed in detail.

Original language	English
Pages (from-to)	183-191
Number of pages	9
Journal	Mathematics and Computers in Simulation
Volume	178
DOIs	https://doi.org/10.1016/j.matcom.2020.06.010
Publication status	Published - Dec 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)
Numerical Analysis
Modelling and Simulation
Applied Mathematics

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10.1016/j.matcom.2020.06.010

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abstract = "In this paper, a nonstandard finite difference scheme is employed to approximate the solution of a nonlinear second order differential equation obtained from the model of heat transfer in extended surfaces. The proposed method for the system enjoys the nonlocal approximation of nonlinear terms and requires neither any iterative procedure nor the computation of Jacobian unlike the standard finite difference method. Accuracy of the method and conditions for generating expected positive solution are also discussed in detail.",

author = "Aderogba, {A. A.} and Fabelurin, {O. O.} and Akindeinde, {S. O.} and Adewumi, {A. O.} and Ogundare, {B. S.}",

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AU - Aderogba, A. A.

AU - Fabelurin, O. O.

AU - Akindeinde, S. O.

AU - Adewumi, A. O.

AU - Ogundare, B. S.

PY - 2020/12

Y1 - 2020/12

N2 - In this paper, a nonstandard finite difference scheme is employed to approximate the solution of a nonlinear second order differential equation obtained from the model of heat transfer in extended surfaces. The proposed method for the system enjoys the nonlocal approximation of nonlinear terms and requires neither any iterative procedure nor the computation of Jacobian unlike the standard finite difference method. Accuracy of the method and conditions for generating expected positive solution are also discussed in detail.

AB - In this paper, a nonstandard finite difference scheme is employed to approximate the solution of a nonlinear second order differential equation obtained from the model of heat transfer in extended surfaces. The proposed method for the system enjoys the nonlocal approximation of nonlinear terms and requires neither any iterative procedure nor the computation of Jacobian unlike the standard finite difference method. Accuracy of the method and conditions for generating expected positive solution are also discussed in detail.

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ER -

Nonstandard finite difference approximation for a generalized Fins problem

Abstract

All Science Journal Classification (ASJC) codes

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