{"title":"Two-dimensional Differential Transform Method for Solving Linear and Non-linear Goursat Problem","authors":"H. Taghvafard, G. H. Erjaee","country":null,"institution":"","volume":39,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":432,"pagesEnd":436,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6124","abstract":"A method for solving linear and non-linear Goursat\r\nproblem is given by using the two-dimensional differential transform\r\nmethod. The approximate solution of this problem is calculated in\r\nthe form of a series with easily computable terms and also the exact\r\nsolutions can be achieved by the known forms of the series solutions.\r\nThe method can easily be applied to many linear and non-linear\r\nproblems and is capable of reducing the size of computational work.\r\nSeveral examples are given to demonstrate the reliability and the\r\nperformance of the presented method.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 39, 2010"}