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Multivalue mixed collocation methods
Applied Mathematics and Computation, 2021Abstract This paper is devoted to the construction of multivalue mixed collocation methods suitable for ordinary differential systems whose solution is known in advance to be oscillatory. Theoretical results concerning the construction and the accuracy of these methods are gained, together with selected numerical experiments.
Conte Dajana +3 more
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Linear barycentric rational collocation method for solving heat conduction equation
Numerical Methods for Partial Differential Equations, 2020The linear barycentric rational collocation method for solving heat conduction equation is presented. The matrix form of discrete heat conduction equation by collocation method is also obtained.
Jin Li, Yongling Cheng
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Jacobi collocation method for the fractional advection‐dispersion equation arising in porous media
Numerical Methods for Partial Differential Equations, 2020In present paper, we solve fractional advection‐dispersion equation (ADE) using Jacobi collocation method. This equation appears in the transport of solutes in ground water and soils.
H. Singh
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A Radial Basis Function Collocation Method for Space-dependent Inverse Heat Problems
, 2020In this study, a radial basis function collocation method (RBFCM) is proposed for the numerical treatment of inverse space-wise dependent heat source problems.
M. Khan, I. Ahmad, Hijaz Ahmad
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USSR Computational Mathematics and Mathematical Physics, 1968
Abstract WHEN solving boundary value problems of mathematical physics by variational methods difficulties are often encountered in evaluating the integrals; and the difficulties are even greater whem empirical functions enter into the equations.
M.F. Kaspshitskaya, A. Yu Luchka
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Abstract WHEN solving boundary value problems of mathematical physics by variational methods difficulties are often encountered in evaluating the integrals; and the difficulties are even greater whem empirical functions enter into the equations.
M.F. Kaspshitskaya, A. Yu Luchka
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Indirect methods of collocation: Trefftz‐Herrera collocation
Numerical Methods for Partial Differential Equations, 1999A nonstandard collocation method (TH-collocation) is presented, where collocation is used to construct specialized weighting functions instead of the solution itself, as it is usual, so that in this sense it is an indirect method. TH-collocation is shown to be as accurate as standard collocation, but computationally far more efficient.
Martin Diaz, Ismael Herrera
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A dual method to the collocation method
Mathematical Methods in the Applied Sciences, 1988AbstractIn this article we consider methods which are related to the collocation method by interchanging the test and the trial spaces. Error estimates are derived. As a by‐product we obtain some extensions to the known convergence results for the collocation method.
Keijo Ruotsalainen, J. Saranen
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Mathematical methods in the applied sciences, 2019
This paper is concerned with the numerical solutions of Bratu‐type and Lane‐Emden–type boundary value problems, which describe various physical phenomena in applied science and technology. We present an optimal collocation method based on quartic B‐spine
P. Roul, Kiran Thula, V. P. Goura
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This paper is concerned with the numerical solutions of Bratu‐type and Lane‐Emden–type boundary value problems, which describe various physical phenomena in applied science and technology. We present an optimal collocation method based on quartic B‐spine
P. Roul, Kiran Thula, V. P. Goura
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Collocation methods for distillation design.
1995Abstract: "Fast and accurate distillation design requires a model that significantly reduces the problem size while accurately approximating a full order distillation column model. Variable number of trays and variable feed tray location make optimization possible.
Huss, Robert S. +1 more
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Collocation methods for Poisson’s equation [PDF]
Computer Methods in Applied Mechanics and Engineering, 2006 Abstract In this paper, we provide an analysis on the collocation methods (CM), which uses a large scale of admissible functions such as orthogonal polynomials, trigonometric functions, radial basis functions and particular solutions, etc. The admissible functions can be chosen to be piecewise, i.e., different functions are used in different ...
Zi-Citi Li, Zi-Citi Li, Hsin-Yun Hu
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