{"title":"On One Application of Hybrid Methods For Solving Volterra Integral Equations","authors":"G.Mehdiyeva, V.Ibrahimov, M.Imanova","country":null,"institution":"","volume":61,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":74,"pagesEnd":79,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/2220","abstract":"As is known, one of the priority directions of research\nworks of natural sciences is introduction of applied section of\ncontemporary mathematics as approximate and numerical methods to\nsolving integral equation into practice. We fare with the solving of\nintegral equation while studying many phenomena of nature to whose\nnumerically solving by the methods of quadrature are mainly applied.\nTaking into account some deficiency of methods of quadrature for\nfinding the solution of integral equation some sciences suggested of\nthe multistep methods with constant coefficients. Unlike these papers,\nhere we consider application of hybrid methods to the numerical\nsolution of Volterra integral equation. The efficiency of the suggested\nmethod is proved and a concrete method with accuracy order p = 4\nis constructed. This method in more precise than the corresponding\nknown methods.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 61, 2012"}