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Information Journal Paper

Title

Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel

Pages

  497-510

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.

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  • Cite

    APA: Copy

    Gholamian, Mohammad, SABERI NADJAFI, JAFAR, & SOHEILI, ALI REZA. (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. SID. https://sid.ir/paper/345681/en

    Vancouver: Copy

    Gholamian Mohammad, SABERI NADJAFI JAFAR, SOHEILI ALI REZA. Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2019;7(3):497-510. Available from: https://sid.ir/paper/345681/en

    IEEE: Copy

    Mohammad Gholamian, JAFAR SABERI NADJAFI, and 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, vol. 7, no. 3, pp. 497–510, 2019, [Online]. Available: https://sid.ir/paper/345681/en

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