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In this paper we apply an efficient approaches based on Bernstein polynomials to solve one-dimensional partial differential equations (PDEs) subject to the given nonlocal conditions. The main idea is based on collocation and transforming the considered PDEs into their associated algebraic equations. Numerical results are presented through the illustrative graphs which demonstrate good accuracy

Kobra Karimi, Mohsen Alipour, Marzieh Khaksarfard. (2016) Numerical Solution of Nonlocal Parabolic Partial Differential Equation via Bernstein Polynomial Method, Punjab University Journal of Mathematics, Volume 48, Issue 1.
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