Numerical Solution of Linear Integro-Differential Equations | Science Publications

Journal of Mathematics and Statistics

S. Al-Shara¹  Husein Jaradat¹  Omar Alsayyed¹ 

关键词: Homotopy analysis method;    integro-differential equations;   

DOI  :  10.3844/jmssp.2008.250.254

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integro-differential equations was presented. Approach: We employed the Homotopy Analysis Method (HAM) to solve linear Fredholm integro-differential equations. Results: Error analysis and illustrative examples were included to demonstrate the validity and applicability of the technique. MATLAB 7 was used to carry out the computations. Conclusion/Recommendations: From now we can use HAM as a novel solver for linear Integro-differential equations.

【 授权许可】

Unknown