Due to the rapid development of theoretical and computational techniques in the recent
years, the role of nonlinearity in dynamical systems has attracted increasing interest and has …

The primary point of this manuscript is to dissect and execute a new modified Galerkin
algorithm based on the shifted Jacobi polynomials for solving fractional differential …

‎ The main goal of this research work is to provide a numerical technique based on choosing
a set of basis functions for handling the third-order time-fractional Korteweg–De Vries …

Numerical approximation for a linearized time fractional KdV equation with initial singularity
using L 1 scheme on graded mesh is considered. It is proved that the L 1 scheme can attain …

The main aim of this work is to construct an efficient recursive numerical technique for
solving multi-term time fractional nonlinear KdV equation. The fractional derivatives are …

In this work, the time fractional KdV equation with Caputo time derivative of order α∈(0, 1) is
considered. The solution of this problem has a weak singularity near the initial time t= 0. A …

The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various
interesting real-world phenomena including wave propagation and the description of …

We consider the local error estimate of the L1 scheme on graded mesh for a linearized time
fractional KdV equation with weakly singular solutions, where Legendre Petrov–Galerkin …

This investigation examines fractional higher-order evolution and fundamental wave
equations, namely the third-and fifth-order fractional Korteweg-de Vries (KdV)-type …

The principal objective of the current paper is to propose a numerical algorithm for treating
the linearized time-fractional KdV equation based on selecting two different sets of basis …