Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Projection methods for integral equations in epidemic
Mathematical Modelling and Analysis, 2002 In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic.
L. Hacia
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization [PDF]
مجلة التربية والعلم, 2023 Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed.
Israa sheekhoo, Azzam Aladool
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. Numerical methods for differential equations solving is a topical problem in applied mathematics. The article is devoted to the numerical-analytical methods of the second and third order of accuracy, based on the approximation of nonlinear ...
O.E. Yaremko, N.N. Yaremko
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On numerical methods for solving hypersingular integral equations on infinite line
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. Hypersingular integral equations on infinite line that arise in many problems of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in Sobolev spaces, which are represented by Fourier series with a
Yuriy G. Smirnov +2 more
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An integral equation–based numerical method for the forced heat equation on complex domains [PDF]
Advances in Computational Mathematics, 2020 AbstractIntegral equation–based numerical methods are directly applicable to homogeneous elliptic PDEs and offer the ability to solve these with high accuracy and speed on complex domains. In this paper, such a method is extended to the heat equation with inhomogeneous source terms.
Fredrik Fryklund +2 more
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Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient [PDF]
, 2012 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis.In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE ...
Mikhailov, SE, Mohamed, NA
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Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]
Mathematics and Computational SciencesThe presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
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