A numerical method for solving the nonlinear Volterra–Fredholm integral equations is
presented. The method is based upon Legendre wavelet approximations. The properties of …

In this article we introduce a numerical method, named Gegenbauer wavelets method,
which is derived from conventional Gegenbauer polynomials, for solving fractional initial and …

A new spectral algorithm based on shifted second kind Chebyshev wavelets operational
matrices of derivatives is introduced and used for solving linear and nonlinear second‐order …

In this paper, a new shifted ultraspherical wavelets operational matrix of derivatives is
introduced. The two wavelets operational matrices, namely Legendre and first kind …

This paper is concerned with introducing two wavelets collocation algorithms for solving
linear and nonlinear multipoint boundary value problems. The principal idea for obtaining …

A steady-state roll motion of ships with nonlinear damping and restoring moments for all
times is modeled by a second-order nonlinear differential equation. Analytical expressions …

This article presents a numerical method for solving nonlinear mixed Volterra-Fredholm
integral equations. The method is based on two-dimensional Legendre wavelet …

Purpose Investigation of the smoking model is important as it has a direct effect on human
health. This paper focuses on the numerical analysis of the fractional order giving up …

A Legendre wavelet operational matrix method (LWM) presented for the solution of
nonlinear fractional order Riccati differential equations, having variety of applications in …

In this paper we study the problem of approximating the general solution to an optimal
control problem whose dynamics arise from a 2× 2 skew-symmetric evolutionary game with …