The aim of this work consists of finding a suitable numerical method for the solution of the
mathematical model describing the prostate tumor growth, formulated as a system of time …

In this paper, we consider the numerical solution of damped Boussinesq equation using
Ciarlet–Raviart mixed finite element method. An implicit finite difference scheme is used for …

This study carries the novel applications of the Sinc collocation method to investigate the
numerical computing paradigm of Schrödinger wave equation and Transport equation as a …

A new numerical learning approach namely Rational Gegenbauer Least Squares Support
Vector Machines (RG_LS_SVM), is introduced in this paper. RG_LS_SVM method is a …

A mathematical model for the problem of wave diffraction by a floating fixed truncated
vertical cylinder is formulated based on Boussinesq equations (BEs). Using Bessel functions …

Purpose The purpose of this study is to use the method of lines to solve the two-dimensional
nonlinear advection–diffusion–reaction equation with variable coefficients …

Purpose This study aims to apply a numerical meshless method, namely, the boundary knot
method (BKM) combined with the meshless analog equation method (MAEM) in space and …

This paper focuses on presenting an asymptotic analysis and employing simulations of a
model describing the growth of local prostate tumor (known as a moving interface problem) …

In this study, we explore linear and nonlinear parabolic integro-differential equations in one
and two dimensions. We employ a semi-implicit scheme to discretize the temporal variable …

In this paper, we design a new framework of direct radial basis function partition of unity (D-
RBF-PU) method to solve parabolic equation on surface with and without boundary. Resort …