Abstract
In this paper, we propose the Method of Particular Solutions for Solving a Class of Nonlinear Reaction-Diffusion Equations using collocation points and approximating the solution using multiquadrics (MQ) and the Thin Plate Splines (TPS) Radial Basis Function (RBF). The scheme works in a similar fashion as finite-difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme.
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Chu, H., Jiang, T. (2013). Particular Solutions of a Class of Nonlinear Reaction-Diffusion Equations. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53932-9_57
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DOI: https://doi.org/10.1007/978-3-642-53932-9_57
Publisher Name: Springer, Berlin, Heidelberg
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