A decomposition method for a fractional-order multi-dimensional telegraph equation via the Elzaki transform
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 …
order telegraph equations. The approximate analytical solution is obtained within the …
An efficient analytical technique, for the solution of fractional-order telegraph equations
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 …
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
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 …
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 …
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 …
Fredholm and mixed Volterra–Fredholm integral equation of second kind in a complex …
A new method for solving of Darboux problem with Haar Wavelet
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 …
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 …
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 …
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 …
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 …
nonlinear Volterra integral equations, based on the expansion of the solution as a series of …