[HTML][HTML] Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions
In this article, a new and efficient operational matrix method based on the amalgamation of
Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional …
Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional …
Differential transform method: A comprehensive review and analysis
SH Hashemi Mehne - Iranian Journal of Numerical Analysis and …, 2022 - ijnao.um.ac.ir
The complexity of solving differential equations in real-world applications motivates
researchers to extend numerical methods. Among different numerical and semi-analytical …
researchers to extend numerical methods. Among different numerical and semi-analytical …
An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers' models with twofold Caputo derivatives ordering
The purpose of the current work is to provide an analytical solution framework based on
extended fractional power series expansion to solve 2D temporal–spatial fractional …
extended fractional power series expansion to solve 2D temporal–spatial fractional …
A Haar wavelet collocation approach for solving one and two‐dimensional second‐order linear and nonlinear hyperbolic telegraph equations
We have developed a new numerical method based on Haar wavelet (HW) in this article for
the numerical solution (NS) of one‐and two‐dimensional hyperbolic Telegraph equations …
the numerical solution (NS) of one‐and two‐dimensional hyperbolic Telegraph equations …
Solving the integral differential equations with delayed argument by using the DTM method
E Hetmaniok, M Pleszczyński, Y Khan - Sensors, 2022 - mdpi.com
Recently, a lot of attention has been paid to the field of research connected with the wireless
sensor network and industrial internet of things. The solutions found by theorists are next …
sensor network and industrial internet of things. The solutions found by theorists are next …
Analytical Solution of Two‐Dimensional Sine‐Gordon Equation
AT Deresse, YO Mussa… - Advances in Mathematical …, 2021 - Wiley Online Library
In this paper, the reduced differential transform method (RDTM) is successfully implemented
for solving two‐dimensional nonlinear sine‐Gordon equations subject to appropriate initial …
for solving two‐dimensional nonlinear sine‐Gordon equations subject to appropriate initial …
Novel Approaches for solving fuzzy fractional partial differential equations
In this paper, we present a comparison of several important methods to solve fuzzy partial
differential equations (PDEs). These methods include the fuzzy reduced differential …
differential equations (PDEs). These methods include the fuzzy reduced differential …
Analytical Solutions to Two‐Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method
AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
The conformable fractional triple Laplace transform approach, in conjunction with the new
Iterative method, is used to examine the exact analytical solutions of the (2+ 1)‐dimensional …
Iterative method, is used to examine the exact analytical solutions of the (2+ 1)‐dimensional …
Approximate Analytic Solutions of Two‐Dimensional Nonlinear Klein–Gordon Equation by Using the Reduced Differential Transform Method
WG Belayeh, YO Mussa… - Mathematical Problems in …, 2020 - Wiley Online Library
In this paper, the reduced differential transform method (RDTM) is successfully implemented
for solving two‐dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic …
for solving two‐dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic …
[PDF][PDF] An analytical study of (2+ 1)-dimensional physical models embedded entirely in fractal space
In this article, we analytically furnish the solution of (2+ 1)-dimensional fractional differential
equations, with distinct fractal-memory indices in all coordinates, as a trivariate (α, β, γ) …
equations, with distinct fractal-memory indices in all coordinates, as a trivariate (α, β, γ) …