Results 21 to 30 of about 117 (97)
Compact Finite Difference Scheme Combined with Richardson Extrapolation for Fisher’s Equation
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this study, the fourth‐order compact finite difference scheme combined with Richardson extrapolation for solving the 1D Fisher’s equation is presented. First, the derivative involving the space variable is discretized by the fourth‐order compact finite difference method.
Hailu Muleta Chemeda +3 more
wiley +1 more source
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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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
wiley +1 more source
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
wiley +1 more source
Solving nonlinear boundary value problems by the Galerkin method with sinc functions
Open Physics, 2015 In this paper, the sinc-Galerkin method is used for numerically solving a class of nonlinear differential equations with boundary conditions. The importance of this study is that sinc approximation of the nonlinear term is stated as a new theorem.
Alkan Sertan, Secer Aydin
doaj +1 more source
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
wiley +1 more source
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
Sinc-Galerkin method for solving linear sixth-order boundary-value problems [PDF]
Mathematics of Computation, 2003 A Galerkin method to solve linear sixth-order boundary-value problems is proposed. As basis functions the so-called Sinc-functions are used. These functions are advantageous for problems with singularities. The linear system to compute the unknown coefficients is developed using an appropriate inner product.
El-Gamel, Mohamed +2 more
openaire +2 more sources