In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, we give the maximum of computed absolute errors for some examples.
Shahsavaran, A., & Paripour, M. (2018). An effective method for approximating the solution of singular integral equations with Cauchy kernel type. Caspian Journal of Mathematical Sciences, 7(1), 102-112. doi: 10.22080/cjms.2017.1700
MLA
Ahmad Shahsavaran; Mahmood Paripour. "An effective method for approximating the solution of singular integral equations with Cauchy kernel type", Caspian Journal of Mathematical Sciences, 7, 1, 2018, 102-112. doi: 10.22080/cjms.2017.1700
HARVARD
Shahsavaran, A., Paripour, M. (2018). 'An effective method for approximating the solution of singular integral equations with Cauchy kernel type', Caspian Journal of Mathematical Sciences, 7(1), pp. 102-112. doi: 10.22080/cjms.2017.1700
VANCOUVER
Shahsavaran, A., Paripour, M. An effective method for approximating the solution of singular integral equations with Cauchy kernel type. Caspian Journal of Mathematical Sciences, 2018; 7(1): 102-112. doi: 10.22080/cjms.2017.1700
)