A decomposition method for a fractional-order multi-dimensional telegraph equation via the Elzaki transform

NA Shah, I Dassios, JD Chung - Symmetry, 2020 - mdpi.com
In this article, the Elzaki decomposition method is used to evaluate the solution of fractional-
order telegraph equations. The approximate analytical solution is obtained within the …

An efficient analytical technique, for the solution of fractional-order telegraph equations

H Khan, R Shah, P Kumam, D Baleanu, M Arif - Mathematics, 2019 - mdpi.com
In the present article, fractional-order telegraph equations are solved by using the Laplace-
Adomian decomposition method. The Caputo operator is used to define the fractional …

Solving an inverse problem for a time-fractional advection-diffusion equation with variable coefficients by rationalized Haar wavelet method

M Erfanian, H Zeidabadi, O Baghani - Journal of Computational Science, 2022 - Elsevier
In this research work, we use of rationalized Haar wavelet (RHW) method and Crank–
Nicolson finite-difference scheme to propose a new idea for solving the inverse time …

The approximate solution of nonlinear mixed Volterra‐Fredholm‐Hammerstein integral equations with RH wavelet bases in a complex plane

M Erfanian - Mathematical Methods in the Applied Sciences, 2018 - Wiley Online Library
This work is based on using wavelet for calculating one‐dimensional nonlinear Volterra‐
Hammerstein and mixed Volterra‐Fredholm‐Hammerstein integral equation of the second …

The approximate solution of nonlinear integral equations with the RH wavelet bases in a complex plane

M Erfanian - International Journal of Applied and Computational …, 2018 - Springer
This study has been conducted to calculate the one-dimensional nonlinear Volterra–
Fredholm and mixed Volterra–Fredholm integral equation of second kind in a complex …

A new method for solving of Darboux problem with Haar Wavelet

M Erfanian, M Gachpazan, S Kosari - SeMA Journal, 2017 - Springer
In this paper we have introduced a computational method for a class of Darboux problem
that change to two-dimensional nonlinear Volterra integral equations, based on the …

Numerical Analysis of the Fractional‐Order Telegraph Equations

OF Azhar, M Naeem, F Mofarreh… - Journal of Function …, 2021 - Wiley Online Library
This paper studied the fractional‐order telegraph equations via the natural transform
decomposition method with nonsingular kernel derivatives. The fractional result considered …

[PDF][PDF] Solving of two dimensional nonlinear mixed Volterra–Fredholm Hammerstein integral equation 2D Haar wavelets

M Erfanian, A Akrami - Mathematical Sciences International …, 2017 - academia.edu
In this work, we used from 2D-Haar wavelet to approximate of nonlinear 2D Volterra–
Fredholm Hammerstein integral equations. So, we define the integral operator, and obtain …

[PDF][PDF] Using of rational Haar wavelet to solve of nonlinear integro-differential equations

M Erfanian, H Zeidabadi - Wavelet and Linear Algebra, 2024 - wala.vru.ac.ir
This article uses the rational Haar wavelet and the successive methodto solve the nonlinear
Fredholm integral differential equation. Additionally, wehave proved the convergence and …

Solving two-dimensional nonlinear Volterra integral equations using Rationalized Haar functions

M Erfanian, H Zeidabadi - International Journal of Nonlinear …, 2023 - ijnaa.semnan.ac.ir
In this paper, we have introduced a computational method for a class of two-dimensional
nonlinear Volterra integral equations, based on the expansion of the solution as a series of …