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Journal:   COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS   2019 , Volume 7 , Number 3; Page(s) 497 To 510.
 
Paper: 

Cubic B-Splines Collocation Method For Solving A Partial Integro-Differential Equation With A Weakly Singular Kernel

 
 
Author(s):  Gholamian Mohammad, Saberi Nadjafi Jafar*, Soheili Ali Reza
 
* 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.
 
Keyword(s): Cubic B-splines,Partial integro-differential equation,Backward Euler method
 
 
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APA: Copy

Gholamian, M., & SABERI NADJAFI, J., & SOHEILI, A. (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. https://www.sid.ir/en/journal/ViewPaper.aspx?id=695385



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. 2019 [cited 2022August09];7(3):497-510. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=695385



IEEE: Copy

Gholamian, M., SABERI NADJAFI, J., SOHEILI, A., 2019. Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, [online] 7(3), pp.497-510. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=695385.



 
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