S. Shahmorad

h-index19

2papers

1,636citations

2 Papers

1.2NAAug 8, 2015

Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

Sedaghat Shahmorad, Samad Ahdiaghdam

The aim of the present work is to introduce a method based on Chebyshev polynomials for the numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the approximate solution. Numerical results demonstrate effectiveness of the proposed method.

1.2NADec 16, 2014

Multistep collocation methods for weakly singular Volterra integral equations with application to fractional differential equations

D. Nazari Susahab, S. Shahmorad

We discuss the application of multistep collocation methods to Volterra integral equations which contain a weakly singular kernel $(t-τ)^{α-1}$ with $0 <α<1.$ Convergence orders of the methods are determined and their superconvergence is also analyzed. The paper closes with numerical examples and application to fractional differential equations.