Siraj-ul-Islam1, Arshed Ali2,*, Aqib Zafar1, Iltaf Hussain1
CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.3, pp. 915-935, 2020, DOI:10.32604/cmes.2020.011218
Abstract Differential quadrature method is employed by numerous researchers due to its
numerical accuracy and computational efficiency, and is mentioned as potential alternative
of conventional numerical methods. In this paper, a differential quadrature based numerical
scheme is developed for solving volterra partial integro-differential equation of second
order having a weakly singular kernel. The scheme uses cubic trigonometric B-spline
functions to determine the weighting coefficients in the differential quadrature approximation
of the second order spatial derivative. The advantage of this approximation is that it reduces
the problem to a first order time dependent integro-differential equation (IDE). The proposed
scheme is obtained in… More >
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