A Galerkin-like approach to solve high-order integrodifferential equations with weakly singular kernel

Kuwait Journal of Science

Åžuayip Yüzbaşı¹  Murat Karaçayır² 

[1] Akdeniz University

关键词: Galerkin method;    inner product;    integro-differential equations;    residual error correction;    weakly singular kernel.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this study, a Galerkin-like approach is applied to numerically solve high-orderintegro-differential equations having weakly singular kernel. The method includestaking inner product of a set of monomials with a vector obtained from the equationin question. The resulting linear system is then solved, yielding a polynomial as theapproximate solution. Additionally, the technique of residual correction, which aimsto increase the accuracy of the approximate solution, is discussed briefly. Lastly, themethod and the residual correction technique are illustrated with several examples.The results are also compared with numerous existing methods from the literature.

【 授权许可】

Unknown