On the exact and numerical solutions to the FitzHugh–Nagumo equation

DOI10.1142/S0217979220501490zbMath1443.37053MaRDI QIDQ5125349

Asif Yokus

Publication date: 6 October 2020

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

finite difference methodnumerical solutionsFitzHugh-Nagumo equationauto-Bäcklund transformation method

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Numerical analysis of nonlinear fractional Klein-Fock-Gordon equation arising in quantum field theory via Caputo-Fabrizio fractional operator ⋮ A linearly implicit scheme and fast multigrid solver for 3D FitzHugh-Nagumo equation ⋮ Highly dispersive optical soliton perturbation with cubic–quintic–septic law via two methods ⋮ Novel comparison of numerical and analytical methods for fractional Burger-Fisher equation ⋮ On the exact and numerical complex travelling wave solution to the nonlinear Schrödinger equation ⋮ Computational solutions of the generalized Ito equation in nonlinear dispersive systems ⋮ Breaking theory of solitary waves for the Riemann wave equation in fluid dynamics ⋮ Qualitative analysis of bounded traveling wave solutions to Nagumo nerve conduction equation and its approximate oscillatory solutions ⋮ Explicit and approximate solutions for the conformable-Caputo time-fractional diffusive predator-prey model

Cites Work

• Unnamed Item
• New improvement of the expansion methods for solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients
• Numerical simulation of the FitzHugh-Nagumo equations
• New exact solutions to the Fitzhugh-Nagumo equation
• Pseudospectral method of solution of the Fitzhugh-Nagumo equation
• Two new applications of the homogeneous balance method
• A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
• Regarding new numerical solution of fractional schistosomiasis disease arising in biological phenomena
• Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients
• Haar wavelet collocation method for three-dimensional elliptic partial differential equations
• The solitary wave solutions to the fractional Radhakrishnan–Kundu–Lakshmanan model
• Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation
• Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations

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