Apply New Optimized MRA & Invariant Solutions on the Generalized-FKPP Equation

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YAZDANI H.R.; NADJAFIKHAH M.; TOOMANIAN M.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2021 | Volume:11 | Issue:4 Page(s): 0-0

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Title

Apply New Optimized MRA & Invariant Solutions on the Generalized-FKPP Equation

Author(s)

YAZDANI H.R. | NADJAFIKHAH M. | TOOMANIAN M. | Issue Writer Certificate

Keywords

Father wavelet

Multiresolution analysis (MRA)

Invariant solution

Approximation subspace

Wavelet subspace

The GFKPP equation

Abstract

So far, the numerous methods for solving and analyzing differential equations are proposed. Meanwhile,the combined methods are beneficial,one of them is the Optimized MRA method (OMRA). This method is based on the Father wavelets (dependent on the Invariant solutions obtained by the Lie symmetry method) and correspondent MRA. In this paper, we apply the OMRA on the generalized version of FKPP equation (GFKPP) with function coefficient futt(x, t) + ut(x, t) = uxx(x, t) + u(x, t) −,u2(x, t), where f is a smooth function of either x or t. We will see that by the suitable Father wavelets, this method proposes attractive approximate solutions.

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APA: Copy

YAZDANI, H.R., NADJAFIKHAH, M., & TOOMANIAN, M.. (2021). Apply New Optimized MRA & Invariant Solutions on the Generalized-FKPP Equation. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 11(4), 0-0. SID. https://sid.ir/paper/1001567/en

Vancouver: Copy

YAZDANI H.R., NADJAFIKHAH M., TOOMANIAN M.. Apply New Optimized MRA & Invariant Solutions on the Generalized-FKPP Equation. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2021;11(4):0-0. Available from: https://sid.ir/paper/1001567/en

IEEE: Copy

H.R. YAZDANI, M. NADJAFIKHAH, and M. TOOMANIAN, “Apply New Optimized MRA & Invariant Solutions on the Generalized-FKPP Equation,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 11, no. 4, pp. 0–0, 2021, [Online]. Available: https://sid.ir/paper/1001567/en

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