Author:
Hussain Amina Kassim,Fadhel Fadhel Subhi,Rusli Nursalasawati,Yahya Zainor Ridzuan
Abstract
Abstract
The two-dimensional integro-differential partial equations is one of the so difficult problems to be solved analytically and/or approximately, and therefore, a method that is efficient for solving such type of problems seems to be necessary. Therefore, in this paper, the iteration methods, which is so called the variational iteration method have been used to provide a solution to such type of problems approximately, in which the obtained results are very accurate in comparison with the exact solution for certain well selected examples which are constructed so that the exact solution exist. Main results of this work is to derive first the variational iteration formula and then analyzing analytically the error term and prove its convergence to zero as the number of iteration increases.
Subject
General Physics and Astronomy
Reference21 articles.
1. Topological methods in the theory of nonlinear integral equations;Krasnosel’skii,1964
2. A series Solution to a Partial Integro-Differential Equation Arising in Viscoelasticity;Yoon;IAE N G international Journal of Applied Mathematics,2013
3. A comparison of Semi-analytical Methods for Solving Partial Integro-Differential Equations;Soliman;Mathematical Sciences Letters,2013
4. He’s homotopy perturbation method: an effective tool for solving nonlinear integral and integro-differential equations;Saberi-Nadjafi;Computers & Mathematics with Applications,2009
5. Variational Iteration Method for Solving Volterra and Fredholm Integral Equations of the Second Kind;Porshokouhi;Gen,2011
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献