Results 31 to 40 of about 5,960 (305)
Mathematics, 2020 In this paper, an accurate and fast algorithm is developed for the solution of tenth order boundary value problems. The Haar wavelet collocation method is applied to both linear and nonlinear boundary value problems.
Rohul Amin +5 more
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
مجلة بغداد للعلوم, 2020 Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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A numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials
Journal of Taibah University for Science, 2023 In this article, a collocation approximation is investigated for approximate solutions of hyperbolic telegraph partial differential equations (HTPDEs). The method is based on evenly spaced collocation points and Pell–Lucas polynomials (PLPs). The form of
Şuayip Yüzbaşı, Gamze Yıldırım
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Mathematics, 2018 We explore the use of inverse multiquadratic (IMQ) functions as basis functions when solving the vibrational Schrödinger equation with the rectangular collocation method. The quality of the vibrational spectrum of formaldehyde (in six dimensions) is
Aditya Kamath, Sergei Manzhos
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A Survey on Isogeometric Collocation Methods with Applications
Mathematics, 2023 Isogeometric analysis (IGA) is an effective numerical method for connecting computer-aided design and engineering, which has been widely applied in various aspects of computational mechanics. IGA involves Galerkin and collocation formulations. Exploiting
Jingwen Ren, Hongwei Lin
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, 2020 Although very useful, the original multi-configuration time-dependent Hartree (MCTDH) method has two weaknesses: (1) its cost scales exponentially with the number of atoms in the system; (2) the standard MCTDH implementation requires that the PES be in ...
Robert, Wodraszka, Tucker, Carrington
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Solving the Lane–Emden equation by using Bernstein operational matrix
Alexandria Engineering JournalLane–Emden equations model a wide range of problems in physics and astrophysics, with applications including stellar structure, radiative cooling, and the modeling of galaxy clusters.
Nurul Izzatie Najwa Kamarul Bahrim +1 more
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A numerical method for solving systems of higher order linear functional differential equations
Open Physics, 2016 Functional differential equations have importance in many areas of science such as mathematical physics. These systems are difficult to solve analytically.In this paper we consider the systems of linear functional differential equations [1-9] including ...
Yüzbasi Suayip +2 more
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Engineering Transactions, 2014 An initial stability of Kirchhoff plates is analysed in the paper. Proposed approach avoids Kirchhoff forces at the plate corner and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element node.
Michał GUMINIAK
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Boundary element collocation methods using splines with multiple knots [PDF]
, 1995 We extend the theory of boundary element collocation methods by allowing reduced inter-element smoothness (or in other words, by allowing trial functions that are splines with multiple knots).
Prößdorf, Siegfried, McLean, William
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