The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …

In this paper, an efficient method for solving the nonlinear Emden–Fowler type boundary
value problems with Dirichlet and Robin–Neumann boundary conditions is introduced. The …

The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve
nonlinear partial differential equations numerically. The Burgers' equation, the Korteweg–de …

In this study, we established a wavelet method, based on Haar wavelets and finite difference
scheme for two-dimensional time fractional reaction–subdiffusion equation. First by a finite …

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 ultimate goal of this study is to develop a numerically effective approximation technique
to acquire numerical solutions of the integer and fractional-order Bratu and the singular …

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

The aim of this paper is to study the new application of Haar wavelet quasilinearization
method (HWQM) to solve one-dimensional nonlinear heat transfer of fin problems. Three …

The common boundary-layer equations are derived in which the boundary-layer forms either
due to the flow of a viscous fluid over a moving wedge or due to the stretching of the surface …

In this article, we present a solution method for fractional nonlinear partial differential
equation. The proposed technique utilizes the Haar wavelets operational matrices method in …