Results 1 to 10 of about 117 (97)
Theory and Computations for the Nonlinear Burgers’ Equation via the Use of Sinc-Galerkin Method
Journal of Electrical and Computer Engineering, 2022 In this research, Burgers’ equation, which is well known to be nonlinear partial differential equation, has many applications for studying some physical phenomena in the disciplines we mention, water waves, plasma waves, and ion acoustic plasma waves ...
Anwar Al-Momani, Kamel Al-Khaled
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Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems [PDF]
Journal of Mathematics, 2013 This paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. The modifications allow for the accurate approximation of the solution with accurate derivatives at the endpoints.
M. A. Hajji, Q. M. Al-Mdallal
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Analysis of a sinc-Galerkin Method for the Fractional Laplacian
SIAM Journal on Numerical Analysis, 2023 We provide the convergence analysis for a sinc-Galerkin method to solve the fractional Dirichlet problem. This can be understood as a follow-up of an earlier article by the same authors, where the authors presented a sinc-function based method to solve fractional PDEs.
Harbir Antil +2 more
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The sinc–Galerkin method for solving Troesch’s problem
Mathematical and Computer Modelling, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Zarebnia
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An Alternating-Direction Sinc–Galerkin method for elliptic problems
Journal of Complexity, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicomedes Alonso III, Kenneth L. Bowers
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Sinc-Galerkin method for solving nonlinear boundary-value problems
Computers and Mathematics With Applications, 2004 This paper deals with nonlinear ordinary differential equations of \(2m\)th-order \((m= 1,2,3)\), \[ u^{(2m)}+ r(x) uu'+ k(x) H(u)= f(x),\quad 0\leq x\leq 1, \] subject to the boundary conditions \(u^{(j)}(0)= 0\), \(u^{(j)}(1)= 0\), \(0\leq j\leq m-1\), where \(H(u)\) may be a polynomial or a rational function, or exponential.
El-Gamel, M., Zayed, A.I.
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Application of Sinc-Galerkin method for solving a nonlinear inverse parabolic problem
Transactions of A Razmadze Mathematical Institute, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Zakeri
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A new sinc-galerkin method for convection-diffusion equations with mixed boundary conditions
Computers and Mathematics With Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mueller, J.L, Shores, T.S
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The shock solution for a class of the nonlinear equations by the Sinc-Galerkin method
Wuli Xuebao/Acta Physica Sinica, 2006 The shock problems for a class of the nonlinear singularly perturbed equations is studied. Using Sinc-Galerkin method, the shock solutions of boundary value problem are constructed, the approximate solution by Newton's method is obtained.
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Axioms, 2023 For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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