Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran
Abstract
In this paper, we apply a numerical scheme for the solution of a second order partial integro-differential equation with a weakly singular kernel. In the time direction, the backward Euler method time-stepping is used to approximate the differential term and the cubic B-splines is applied to the space discretization. Detailed discrete schemes, the convergence and the stability of the method is demonstrated. Next, the computational efficiency and accuracy of the method are examined by the numerical results.
Gholamian, M., Saberi-Nadjafi, J., & Soheili, A. R. (2019). Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel. Computational Methods for Differential Equations, 7(3), 497-510.
MLA
Mohammad Gholamian; Jafar Saberi-Nadjafi; Ali Reza Soheili. "Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel". Computational Methods for Differential Equations, 7, 3, 2019, 497-510.
HARVARD
Gholamian, M., Saberi-Nadjafi, J., Soheili, A. R. (2019). 'Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel', Computational Methods for Differential Equations, 7(3), pp. 497-510.
VANCOUVER
Gholamian, M., Saberi-Nadjafi, J., Soheili, A. R. Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel. Computational Methods for Differential Equations, 2019; 7(3): 497-510.
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