Three-dimensional application of the meshless generalized finite difference method for solving the extended Fisher-Kolmogorov equation

DOI10.1016/j.aml.2022.108458zbMath1503.65173OpenAlexW4297535500MaRDI QIDQ2106090

Bingrui Ju, Wenzhen Qu

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108458

zbMATH Keywords

nonlinearfourth orderextended Fisher-Kolmogorov equationgeneralized finite difference method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (11)

A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity ⋮ A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem ⋮ A localized Fourier collocation method for solving high-order partial differential equations ⋮ Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes ⋮ An improved localized boundary knot method for 3D acoustic problems ⋮ A singular boundary method for transient coupled dynamic thermoelastic analysis ⋮ The enriched quadrilateral overlapping finite elements for time-harmonic acoustics ⋮ Improved modal analyses using the novel quadrilateral overlapping elements ⋮ Approximation of three‐dimensional nonlinear wave equations by fundamental solutions and weighted residuals process ⋮ A generalized finite difference method for 2D dynamic crack analysis ⋮ The novel backward substitution method for the simulation of three-dimensional time-harmonic elastic wave problems

Cites Work

• Unnamed Item
• The method of fundamental solutions for nonlinear elliptic problems
• Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
• The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation
• Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions
• A meshless singular boundary method for transient heat conduction problems in layered materials
• A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading
• A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory
• Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model
• A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis
• An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures
• A boundary meshless method for dynamic coupled thermoelasticity problems
• Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions
• An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability
• A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering
• 2.5D singular boundary method for acoustic wave propagation
• Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions
• Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS
• The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars
• Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics
• The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation
• Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

This page was built for publication: Three-dimensional application of the meshless generalized finite difference method for solving the extended Fisher-Kolmogorov equation