Results 1 to 10 of about 98 (84)
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
doaj +2 more sources
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
exaly +5 more sources
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
doaj +2 more sources
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
exaly +3 more sources
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
exaly +3 more sources
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.
exaly +3 more sources
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
doaj +1 more source
Advances in Difference Equations, 2020 In this paper, a new numerical algorithm for solving the time fractional convection–diffusion equation with variable coefficients is proposed. The time fractional derivative is estimated using the L 1 $L_{1}$ formula, and the spatial derivative is ...
Li Juan Chen, MingZhu Li, Qiang Xu
doaj +1 more source
Sinc-Galerkin estimation of diffusivity in parabolic problems [PDF]
Inverse Problems, 1993 Summary: A fully sinc-Galerkin method for the numerical recovery of spatially varying diffusion coefficients in linear parabolic partial differential equations is presented. Because the parameter recovery problems are inherently ill-posed, an output error criterion in conjunction with Tikhonov regularization is used to formulate them as infinite ...
Smith, Ralph C., Bowers, Kenneth L.
openaire +2 more sources
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