{"title":"Effect of Implementation of Nonlinear Sequence Transformations on Power Series Expansion for a Class of Non-Linear Abel Equations","authors":"Javad Abdalkhani","country":null,"institution":"","volume":48,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1465,"pagesEnd":1470,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/1972","abstract":"Convergence of power series solutions for a class of\r\nnon-linear Abel type equations, including an equation that arises\r\nin nonlinear cooling of semi-infinite rods, is very slow inside their\r\nsmall radius of convergence. Beyond that the corresponding power\r\nseries are wildly divergent. Implementation of nonlinear sequence\r\ntransformation allow effortless evaluation of these power series on\r\nvery large intervals..","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 48, 2010"}