Open AccessBounded solution of Cauchy type singular integral equation of the first kind using differential transform method
Author(s) -
M. Abdulkawi
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v14i1.7049
Subject(s) - mathematics , singular integral , mathematical analysis , bounded function , singular solution , cauchy problem , cauchy's integral formula , cauchy distribution , cauchy's integral theorem , integral equation , volterra integral equation , kernel (algebra) , transformation (genetics) , type (biology) , integral transform , initial value problem , cauchy principal value , cauchy boundary condition , pure mathematics , boundary value problem , neumann boundary condition , ecology , biochemistry , chemistry , biology , gene
In this paper, an efficient approximate solution for solving the Cauchy type singular integral equation of the first kind is presented. Bounded solution of the Cauchy type singular Integral equation is discussed. Two type of kernel, separable and convolution, are considered. The differential transform method is used in the solution. New theorems for transformation of Cauchy singular integrals are given with proofs. Approximate results areshown to illustrate the efficiency and accuracy of the approximate solution.