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Linear barycentric rational collocation method for solving generalized Poisson equations
Mathematical Biosciences and Engineering, 2023 We consider the Poisson equation by collocation method with linear barycentric rational function. The discrete form of the Poisson equation was changed to matrix form. For the basis of barycentric rational function, we present the convergence rate of the
Jin Li +3 more
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Journal of Mechanical Engineering and Sciences, 2021 The collocation method is the method for the numerical solution of integral equations and partial and ordinary differential equations. The main idea of this method is to choose a number of points in the domain and a finite-dimensional space of candidate ...
A. Ghannadiasl
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Barycentric Rational Collocation Method for Burgers’ Equation
Journal of Mathematics, 2022 In this article, barycentric rational collocation method is introduced to solve Burgers’ equation. The algebraic equations of the barycentric rational collocation method are presented. Numerical analysis and error estimates are established. With the help
Qingli Zhao +3 more
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A Spectral Method for Two-Dimensional Ocean Acoustic Propagation
Journal of Marine Science and Engineering, 2021 The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma +5 more
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Journal of Mathematics, 2023 This paper deals with the numerical solution of a class of highly oscillatory Volterra integral equations by collocation methods based on the exponential fitting technique.
S. Khudhair Abbas +2 more
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Mathematics, 2023 This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur +2 more
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Applicability of spline collocation to cordial volterra equations
Mathematical Modelling and Analysis, 2013 We study the applicability of the standard spline collocation method, on a uniform grid, to linear Volterra integral equations of the second kind with the so-called cordial operators; these operators are noncompact and the applicability of the ...
Teresa Diogo, Gennadi Vainikko
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The Effect of Using Input Enhancement Technique on Collocation Learning of Iraqi EFL Students
الأستاذ, 2022 Collocation can be defined as two or sometimes more than two words that often go together for example, impose punishment, do homework, and save money.
م.د نغم جعفر مجيد
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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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Existence and uniqueness of nontrivial collocation solutions of implicitly linear homogeneous Volterra integral equations [PDF]
J. Comput. Appl. Math. 235 (2011), no. 12, 3661-3672, 2011 We analyze collocation methods for nonlinear homogeneous Volterra-Hammerstein integral equations with non-Lipschitz nonlinearity. We present different kinds of existence and uniqueness of nontrivial collocation solutions and we give conditions for such existence and uniqueness in some cases.
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