Search
CSV
RISThe Transport Dynamics Induced by Riesz Potential in Modeling Fractional Reaction–Diffusion-Mechanics System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper comprises of a finite difference method with implicit scheme for the Riesz fractional reaction–diffusion equation (RFRDE) by utilizing the fractional-centered difference for approximating the Riesz derivative, ...
The Time-Splitting Spectral Method for the Gerdjikov–Ivanov Equation With the Riesz Fractional Derivative in the Quantum Field Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The present work deals with the solutions of the Gerdjikov–Ivanov(G–I) equation with the Riesz fractional derivative by means of the time-splitting spectral approach. In this approach, the G–I equation is split into two ...
Numerical Soliton Solutions of Fractional Modified (2 + 1)-Dimensional Konopelchenko–Dubrovsky Equations in Plasma Physics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the time-fractional modified (2 + 1)-dimensional Konopelchenko–Dubrovsky equations have been solved numerically using the Kansa method, in which the multiquadrics is used as radial basis function. To achieve ...
Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The article aims to propose the Lerch operational matrix method to solve a stochastic fractional differential equation. In this approach, the Lerch polynomials have been used as a basis function. Then, the product operational ...
Traveling Wave Solutions to Riesz Time Fractional Camassa–Holm Equation in Modeling for Shallow Water Waves
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz., Riesz timefractional Camassa–Holm (CH) equation by modified homotopy analysis method ...
Comparison Between Two Reliable Methods for Accurate Solution of Fractional Modified Fornberg–Whitham Equation Arising in Water Waves
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, an analytical technique is proposed to determine the exact solution of fractional order modified Fornberg–Whitham equation. Since exact solution of fractional Fornberg–Whitham equation is unknown, first ...
Numerical Solution of Fractional Partial Differential Equation of Parabolic Type With Dirichlet Boundary Conditions Using Two-Dimensional Legendre Wavelets Method
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the numerical solution for the fractional order partial differential equation (PDE) of parabolic type has been presented using two dimensional (2D) Legendre wavelets method. 2D Haar wavelets method is also ...