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
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Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this study, we propose a novel approach to address a particular second‐order partial differential equation along with its boundary value conditions (SPDEs). In this process, we transfer the SPDEs problem into Volterra–Fredholm integral equation (VFIE), and we perform the Tau method bases on orthogonal Legendre polynomials directly, for solution of ...
Choonkil Park +2 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 9, September 2024.Abstract In this paper, we focus on scattering of non‐periodic incident fields in three‐dimensional bi‐periodic structures, as they can not be solved by the classical methods used for the quasi‐periodic scattering problems. To solve such non‐periodic scattering problems, the Floquet–Bloch transform, which decomposes the unbounded problem into a family ...
Tilo Arens +2 more
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Symmetrization of the sinc-Galerkin method for boundary value problems [PDF]
Mathematics of Computation, 1986 The Sinc-Galerkin method developed in [5], when applied to the second-order selfadjoint boundary value problem, gives rise to a nonsymmetric coefficient matrix. The technique in [5] is based on weighting the Galerkin inner products in such a way that the method will handle boundary value problems with regular singular points.
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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.
Zakeri, A. +2 more
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Sinc-Galerkin Method For The Solution Of Problems In Calculus Of Variations
, 2011 {"references": ["L. Elsgolts, Differential Equations and Calculus of Variations, Mir,\nMoscow, 1977 (translated from the Russian by G. Yankovsky).", "I.M. Gelfand, S.V. Fomin, Calculus of Variations, Prentice-Hall,\nEnglewood Cliffs, NJ, 1963.", "C.F. Chen, C.H. Hsiao, A walsh series direct method for solving\nvariational problems, J. Franklin Inst.vol.
M. Zarebnia, N. Aliniya
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Solving the first Painleve equation using the Sinc-Galerkin method
International Journal of Applied Mathematical Research, 2012 The main goal of this paper is to solve the ?rst Painleve equation using the sinc-Galerkin method. In order to obtain this goal, we ?rst describe brie?y the sinc-Gelrkin method, and then we apply it to the ?rst Painleve equation. At last, the numerical result is shown to demonstrate the power and accuracy of the method.
Ali Salimi shamloo +2 more
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Double exponential quadrature for fractional diffusion. [PDF]
Numer Math (Heidelb), 2023 Rieder A.
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A new implicit high-order iterative scheme for the numerical simulation of the two-dimensional time fractional Cable equation. [PDF]
Sci Rep, 2023 Khan MA +4 more
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Numerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation method. [PDF]
Heliyon, 2021 Ahmad I +5 more
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