In this article, a novel meshless local collocation method is proposed for the numerical
solution of the three-dimensional (3D) extended Fisher–Kolmogorov (EFK) equation. The …

The nonlinear wave phenomenon constitutes a significant research field and is a capable
mathematical model for representing the transmission of energy in physical processes. This …

This work offers two radial basis functions (RBFs) based meshfree schemes for the
numerical simulation of non-linear extended Fisher–Kolmogorov model. In the development …

In this investigation, we concentrate on solving the regularized long-wave (RLW) and
extended Fisher–Kolmogorov (EFK) equations in one-, two-, and three-dimensional cases …

Most implicit methods for the Swift–Hohenberg (SH) equation with quadratic–cubic
nonlinearity require costly iterative solvers at each time step. In this paper, a non-iterative …

In this paper, we consider two-space dimensional nonlinear Fisher–Kolmogorov–Petrovsky–
Piscounov (Fisher–KPP) equation and two-space dimensional nonlinear fourth-order …

In this paper, a new fourth-order compact finite difference scheme is proposed to solve the
extended Fisher-Kolmogorov (EFK) equation. The scheme is three-level and implicit …

This research article focused on optimising the parameter related to radial basis function
(RBF) by solving the Fisher's equation numerically. To obtain the numerical solutions …

This study investigates tumor density dynamics through computational modeling, focusing
on key parameters: proliferation rate m, diffusion coefficient τ, and additional factors c and κ …

Nonlinear partial differential equations (PDEs) play an important role in the modeling of the
natural phenomena as they have great significance in real-world applications. This …