The accuracy issues of Haar wavelet method are studied. The order of convergence as well
as error bound of the Haar wavelet method is derived for general n th order ODE. The …

Differential and integral equations have been used vastly in modeling engineering and
science problems. Solving these equations has been always an active and important area of …

Current study contains adaption of Haar wavelet discretization method (HWDM) for FG
beams and its accuracy estimates. The convergence analysis is performed for differential …

We firstly generalize a multi-term time fractional diffusion-wave equation to the multi-term
variable-order time fractional diffusion-wave equation (MV-TFD-E) by the concept of variable …

In this paper, an efficient and accurate computational method based on the Legendre
wavelets (LWs) is proposed for solving the time fractional diffusion-wave equation (FDWE) …

In this paper, a new computational method based on the Legendre wavelets (LWs) is
proposed for solving a class of variable‐order fractional optimal control problems (V …

This study solves the time-fractional telegraph equations with Dirichlet boundary conditions
using a novel and effective wavelet collocation method based on Taylor wavelets. In the …

This article proposes the fast L1 alternating direction implicit (ADI) finite difference and
compact difference schemes to solve the fractional telegraph equation in three-dimensional …

This paper presents the transcendental Bernstein series (TBS) as a generalization of the
classical Bernstein polynomials for solving the variable-order space–time fractional …

This paper is concerned with the moving least squares (MLS) meshless approach for the
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …