Numerical Methods For Partial Differential Equations

A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation

Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term

Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique

Superconvergence analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrodinger equation

Numerical simulation of time fractional Cable equations and convergence analysis

Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation

A novel variable-order fractional nonlinear Klein Gordon model: A numerical approach

Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations

The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes

A fully discrete spectral method for fractional Cattaneo equation based on Caputo-Fabrizo derivative