Spline method for solving generalised Fisher-Kolomogrov-Petrovskii-Piskunov equation
by Kai Qu; Zhilei Zhao; Bo Jiang
International Journal of Computer Applications in Technology (IJCAT), Vol. 50, No. 3/4, 2014

Abstract: A numerical method (the finite element method using bivariate spline for generalised FKPP equation, FBG method for short), using bivariate splines, is presented for the numerical solution of a generalised Fisher-Kolomogrov-Petrovskii-Piskunov (FKPP) equation. In this paper, we constructed the bivariate spline proper subspace of S^2,3₄(Δ ⁽²⁾_mn), which satisfies homogeneous boundary conditions on type-2 triangulations. Also, we use S^2,3₄(Δ ⁽²⁾_mn) to interpolate the boundary conditions. An example is solved to assess the accuracy of the method. The numerical solutions obtained indicate that FBG method is reliable and yields results compatible with the exact solutions and consistent with other existing numerical methods.

Online publication date: Sat, 07-Feb-2015

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