Results 21 to 30 of about 117 (101)
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This article focuses on finding the numerical solution of the nonlinear time–fractional partial integro–differential equation. For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative, nonlinear, and integro–differential terms; and by collocation points, we transform the problem to a system
M. Taghipour +2 more
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New High‐Order Energy Preserving Method of the Fractional Coupled Nonlinear Schrödinger Equations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The symplectic structure is given for the fractional coupled nonlinear Schrödinger equations. The Fourier spectral method and the fourth‐order combination average vector field (AVF) method are applied to discretize the structure, and a new format for the fractional coupled nonlinear Schrödinger equations is obtained.
Jianqiang Sun +4 more
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Diffusion‐Based Smoothers for Spatial Filtering of Gridded Geophysical Data
Journal of Advances in Modeling Earth Systems, Volume 13, Issue 9, September 2021., 2021 Abstract We describe a new way to apply a spatial filter to gridded data from models or observations, focusing on low‐pass filters. The new method is analogous to smoothing via diffusion, and its implementation requires only a discrete Laplacian operator appropriate to the data. The new method can approximate arbitrary filter shapes, including Gaussian
I. Grooms +7 more
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A fully Sinc‐Galerkin method for Euler–Bernoulli beam models [PDF]
Numerical Methods for Partial Differential Equations, 1992 AbstractA fully Sinc‐Galerkin method in both space and time is presented for fourth‐order time‐dependent partial differential equations with fixed and cantilever boundary conditions. The sine discretizations for the second‐order temporal problem and the fourth‐order spatial problems are presented.
Smith, Ralph C. +2 more
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Numerical Analysis of the Fractional‐Order Telegraph Equations
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper studied the fractional‐order telegraph equations via the natural transform decomposition method with nonsingular kernel derivatives. The fractional result considered in the Caputo‐Fabrizio derivative is Caputo sense. Currently, the communication system plays a vital role in a global society.
Omar Fouad Azhar +4 more
wiley +1 more source
A “sinc-Galerkin” method of solution of boundary value problems [PDF]
Mathematics of Computation, 1979 This paper illustrates the application of a "Sinc-Galerkin" method to the approximate solution of linear and nonlinear second order ordinary differential equations, and to the approximate solution of some linear elliptic and parabolic partial differential equations in the plane.
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Abstract and Applied Analysis, 2013 An efficient solution algorithm for sinc-Galerkin method has been presented for obtaining numerical solution of PDEs with Dirichlet-type boundary conditions by using Maple Computer Algebra System.
Aydin Secer
doaj +1 more source
Analysis of Spectral Tau Method for Approximate Solution of Fourth‐Order BVP in Hilbert Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.This research explores the effectiveness of the spectral Tau method for solving fourth‐order differential boundary value problem (FBVP). We transform this FBVP into a Volterra–Fredholm integral equation (VFIE). By applying Banach’s fixed‐point theorem, we investigate the existence and uniqueness of the solution for the VFIE form of the FBVP equation ...
Javad Shokri, Smritijit Sen
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Sinc-Galerkin method and a higher-order method for a 1D and 2D time-fractional diffusion equations
Boundary Value ProblemsIn this article, a new numerical algorithm for solving a 1-dimensional (1D) and 2-dimensional (2D) time-fractional diffusion equation is proposed. The Sinc-Galerkin scheme is considered for spatial discretization, and a higher-order finite difference ...
Man Luo, Da Xu, Xianmin Pan
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, we first model the space‐fractional advection equation by choosing an exact solution under certain restrictions. Then, the forcing term is determined according to that solution. Secondly, we present a numerical solution for a class of space‐fractional advection‐diffusion equations with a nonlinear source term involving both time and ...
Muhammad Hakim Ali Qasmi +4 more
wiley +1 more source