An Efficient Method for Second Order Boundary Value Problems
Year: 2015
Type: article
Abstract: In this study, we apply the homotopy perturbation method for solving the second-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. The method is tested for solving linear second-order boundary value problems. The analysis is accompanied by several examples that demonstrate the comparison and shows the pertinent features of the homotopy perturbation technique.
DOI: 10.19026/rjms.7.5272
Author: Jishan Ahmed
Institution: University of Barishal
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2183245337