An efficient method for solving Bratu equations

Muhammed I. Syam; Abdelrahem Hamdan

doi:10.1016/j.amc.2005.10.021

An efficient method for solving Bratu equations

Muhammed I. Syam, Abdelrahem Hamdan

Department of Mathematical Sciences

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

90 Citations (Scopus)

Abstract

In this paper, we present a numerical technique for solving Bratu equation. It is based on the Laplace Adomain decomposition method which produces an implicit equation in two variables. We used the predictor corrector technique to trace the solution curve generated from this equation. Numerical results and conclusions will be presented.

Original language	English
Pages (from-to)	704-713
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	176
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.10.021
Publication status	Published - May 15 2006

Keywords

Laplace Adomain decomposition method
Predictor corrector
Turning and bifurcation points

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2005.10.021

Cite this

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title = "An efficient method for solving Bratu equations",

abstract = "In this paper, we present a numerical technique for solving Bratu equation. It is based on the Laplace Adomain decomposition method which produces an implicit equation in two variables. We used the predictor corrector technique to trace the solution curve generated from this equation. Numerical results and conclusions will be presented.",

keywords = "Laplace Adomain decomposition method, Predictor corrector, Turning and bifurcation points",

author = "Syam, {Muhammed I.} and Abdelrahem Hamdan",

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AU - Hamdan, Abdelrahem

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AB - In this paper, we present a numerical technique for solving Bratu equation. It is based on the Laplace Adomain decomposition method which produces an implicit equation in two variables. We used the predictor corrector technique to trace the solution curve generated from this equation. Numerical results and conclusions will be presented.

KW - Laplace Adomain decomposition method

KW - Predictor corrector

KW - Turning and bifurcation points

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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An efficient method for solving Bratu equations

Abstract

Keywords

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