Marjan Uddin1, *, Najeeb Ullah2, Syed Inayat Ali Shah2
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 957-972, 2020, DOI:10.32604/cmes.2020.08911
Abstract In this work, a numerical scheme is constructed for solving nonlinear parabolictype partial-integro differential equations. The proposed numerical scheme is based on
radial basis functions which are local in nature like finite difference numerical schemes.
The radial basis functions are used to approximate the derivatives involved and the integral
is approximated by equal width integration rule. The resultant differentiation matrices are
sparse in nature. After spatial approximation using RBF the partial integro-differential
equations reduce to the system of ODEs. Then ODEs system can be solved by various
types of ODE solvers. The proposed numerical scheme is tested and compared with… More >
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