Integral-based solution for a class of second order boundary value problems

H. J. Al-Gahtani

doi:10.1016/S0096-3003(97)10150-3

Integral-based solution for a class of second order boundary value problems

H. J. Al-Gahtani^*

^*Corresponding author for this work

Department of Civil and Environmental Engineering

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

1 Scopus citations

Abstract

An integral formulation for the solution of a class of second order boundary value problems which are described by the equation d²y/dx² + P(x,y, dy/dx, d²y/dx²) = 0, x ∈ (0,a), is presented. The resulting integral equations are then solved by expressing the dependent variable y as a power series which made the computation of various integrals possible. The proposed method is tested through some examples to show the applicability of the method to solve a wide range of second order differential equations including the nonlinear ones.

Original language	English
Pages (from-to)	43-48
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	98
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(97)10150-3
State	Published - 1999

Keywords

Boundary element method
Integral equations
Nonlinear ordinary differential equations

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0096-3003(97)10150-3

Cite this

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abstract = "An integral formulation for the solution of a class of second order boundary value problems which are described by the equation d2y/dx2 + P(x,y, dy/dx, d2y/dx2) = 0, x ∈ (0,a), is presented. The resulting integral equations are then solved by expressing the dependent variable y as a power series which made the computation of various integrals possible. The proposed method is tested through some examples to show the applicability of the method to solve a wide range of second order differential equations including the nonlinear ones.",

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AB - An integral formulation for the solution of a class of second order boundary value problems which are described by the equation d2y/dx2 + P(x,y, dy/dx, d2y/dx2) = 0, x ∈ (0,a), is presented. The resulting integral equations are then solved by expressing the dependent variable y as a power series which made the computation of various integrals possible. The proposed method is tested through some examples to show the applicability of the method to solve a wide range of second order differential equations including the nonlinear ones.

KW - Boundary element method

KW - Integral equations

KW - Nonlinear ordinary differential equations

UR - https://www.scopus.com/pages/publications/23644457652

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DO - 10.1016/S0096-3003(97)10150-3

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IS - 1

ER -

Integral-based solution for a class of second order boundary value problems

Abstract

Keywords

ASJC Scopus subject areas

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