NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS

DOI10.1142/S0218348X22400515OpenAlexW3202675325MaRDI QIDQ5070750

Imtiaz Ahmad, Muhammad Nawaz Khan, Hijaz Ahmad, Hanaa Abu-Zinadah, Yu-Ming Chu, Fuzhang Wang

Publication date: 14 April 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22400515

zbMATH Keywords

radial basis functionCaputo derivativelocal meshless methodnonlinear time-fractional Fisher equations

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Representations of solutions to partial differential equations (35Cxx) Parabolic equations and parabolic systems (35Kxx)

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Cites Work

• Unnamed Item
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Mathematical biology. Vol. 1: An introduction.
• A study of one dimensional nonlinear diffusion equations by Bernstein polynomial based differential quadrature method
• Meshless technique for the solution of time-fractional partial differential equations having real-world applications
• Local meshless method for PDEs arising from models of wound healing
• Pushed and pulled fronts in a discrete reaction-diffusion equation
• On the method of inverse mapping for solutions of coupled systems of nonlinear differential equations arising in nanofluid flow, heat and mass transfer
• The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations
• On solutions of fractional order telegraph partial differential equation by Crank-Nicholson finite difference method
• Fractional calculus involving \((p, q)\)-Mathieu type series
• A modified invariant subspace method for solving partial differential equations with non-singular kernel fractional derivatives
• Solitons and other solutions of \((3+1)\)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation
• New exact solutions for generalized \((3+1)\) shallow water-like (SWL) equation
• The new extended rational SGEEM for construction of optical solitons to the \((2+1)\)-dimensional Kundu-Mukherjee-Naskar model
• Two reliable methods for the solution of fractional coupled Burgers' equation arising as a model of polydispersive sedimentation
• Optical solitons to the fractional Schrödinger-Hirota equation
• On the transition from initial data to travelling waves in the fisher-kpp equation
• On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
• Optimality of the Boundary Knot Method for Numerical Solutions of 2D Helmholtz-Type Equations

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