In this paper, continuous genetic algorithm is introduced as an efficient solver for systems of
second-order boundary value problems where smooth solution curves are used throughout …

Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

In the present paper, we developed the functional matrix of integration via Bernoulli wavelets
and generated a competent numerical scheme to solve the nonlinear system of singular …

This study manages the numeric roots of the 7th-order linear & nonlinear boundary value
problems (BVPs) utilizing another CB (Cubic-B) spline strategy. Cubic Spline interpolation is …

In this research, we propose a numerical scheme to solve the system of second-order
boundary value problems. In this way, we use the Local Radial Basis Function Differential …

A homotopy perturbation method (HPM) is proposed to solve non-linear systems of second-
order boundary value problems. HPM yields solutions in convergent series forms with easily …

In this study, Haar wavelet collocation method is used for the numerical solution of 1D and
2D cubic nonlinear Schrodinger equations with initial and Dirichlet boundary conditions. The …

Based on collocation with Haar and Legendre wavelets, two efficient and new numerical
methods are being proposed for the numerical solution of elliptic partial differential …

The objective of this paper is to present two numerical techniques for solving generalized
fractional differential equations. We develop Haar wavelets operational matrices to …

The present paper uses a relatively new approach and methodology to solve second order
two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline …