The solution of a partial differential equation can be obtained by computing the inverse
operator map between the input and the solution space. Towards this end, we introduce a …

Solving a nonlinear fractional differential equation using Chebyshev wavelets - ScienceDirect
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Fractional differential equations are solved using the Legendre wavelets. An operational
matrix of fractional order integration is derived and is utilized to reduce the fractional …

A survey on the use of the Haar wavelet method for solving nonlinear integral and
differential equations is presented. This approach is applicable to different kinds of integral …

New Pell polynomials in two dimensions together with many important properties are
presented in this work. The two dimensions Pell polynomials expansion coefficients of a first …

A numerical scheme, based on the Haar wavelet operational matrices of integration for
solving linear two-point and multi-point boundary value problems for fractional differential …

The CAS wavelet operational matrix P of integration is first presented and a general
procedure to generate this matrix P is given. CAS wavelet approximating method is then …

This paper proposes a parameter identification method of fractional-order time delay system
based on Legendre wavelet. An integration operational matrix and delay operational matrix …

In this article, the Legendre wavelet operational matrix of integration is used to solve
boundary ordinary differential equations with non-analytic solution. Although the standard …

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 …