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Collocation Method For Weakly Singular Volterra Integral Equations Of The Second Type
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Book Synopsis Collocation method for Weakly Singular Volterra Integral Equations of the Second Type by : Henry Ekah-Kunde
Download or read book Collocation method for Weakly Singular Volterra Integral Equations of the Second Type written by Henry Ekah-Kunde and published by GRIN Verlag. This book was released on 2017-07-17 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2015 in the subject Mathematics - Applied Mathematics, grade: A, , language: English, abstract: In scientific and engineering problems Volterra integral equations are always encountered. Applications of Volterra integral equations arise in areas such as population dynamics, spread of epidemics in the society, etc. The problem statement is to obtain a good numerical solution to such an integral equation. A brief theory of Volterra Integral equation, particularly, of weakly singular types, and a numerical method, the collocation method, for solving such equations, in particular Volterra integral equation of second kind, is handled in this paper. The principle of this method is to approximate the exact solution of the equation in a suitable finite dimensional space. The approximating space considered here is the polynomial spline space. In the treatment of the collocation method emphasis is laid, during discretization, on the mesh type. The approximating space applied here is the polynomial spline space. The discrete convergence properties of spline collocation solutions for certain Volterra integral equations with weakly singular kernels shall is analyzed. The order of convergence of spline collocation on equidistant mesh points is also compared with approximation on graded meshes. In particular, the attainable convergence orders at the collocation points are examined for certain choices of the collocation parameters.
Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner
Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Collocation Methods for Weakly Singular Second Kind Volterra Integral Equations with Non-smooth Solution by : Herman J. J. te Riele
Download or read book Collocation Methods for Weakly Singular Second Kind Volterra Integral Equations with Non-smooth Solution written by Herman J. J. te Riele and published by . This book was released on 1981 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collocation Methods for Weakly Singular Second Kind Volterra Integral Equations with Non-smooth Solution by : Herman H. Riele
Download or read book Collocation Methods for Weakly Singular Second Kind Volterra Integral Equations with Non-smooth Solution written by Herman H. Riele and published by . This book was released on 1981 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collocation Methods for Weakly Singular Volterra Integral Equations with Vanishing Delays by : Fan Bo
Download or read book Collocation Methods for Weakly Singular Volterra Integral Equations with Vanishing Delays written by Fan Bo and published by . This book was released on 2011 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collocation Methods for Weakly Singular Volterra Integral Equations with Vanishing Delays by : Fan Bai
Download or read book Collocation Methods for Weakly Singular Volterra Integral Equations with Vanishing Delays written by Fan Bai and published by . This book was released on 2011 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Methods for Integral Equations by : L. M. Delves
Download or read book Computational Methods for Integral Equations written by L. M. Delves and published by CUP Archive. This book was released on 1985 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a readable account of techniques for numerical solutions.
Book Synopsis Collocation Type Methods for Volterra Integral Equations by : Maria Teresa R. M. Diogo
Download or read book Collocation Type Methods for Volterra Integral Equations written by Maria Teresa R. M. Diogo and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytical and Numerical Methods for Volterra Equations by : Peter Linz
Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz and published by SIAM. This book was released on 1985-07-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Book Synopsis Conjugate gradient method for the solution of optimal control problems governed by weakly singular Volterra integral equations with the use of the collocation method by : Henry Ekah-Kunde
Download or read book Conjugate gradient method for the solution of optimal control problems governed by weakly singular Volterra integral equations with the use of the collocation method written by Henry Ekah-Kunde and published by GRIN Verlag. This book was released on 2017-07-28 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar paper from the year 2015 in the subject Mathematics - Applied Mathematics, grade: A, , language: English, abstract: In this research, a novel method to approximate the solution of optimal control problems governed by Volterra integral equations of weakly singular types is proposed. The method introduced here is the conjugate gradient method with a discretization of the problem based on the collocation approach on graded mesh points for non linear Volterra integral equations with singular kernels. Necessary and sufficient optimality conditions for optimal control problems are also discussed. Some examples are presented to demonstrate the efficiency of the method.
Book Synopsis Collocation methodes forweakly singular second kind Volterra integral equations with non-smoth solution by : Hermanus J. te Riele
Download or read book Collocation methodes forweakly singular second kind Volterra integral equations with non-smoth solution written by Hermanus J. te Riele and published by . This book was released on 1981 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability-type Results for Collocation Methods for Volterra Integral Equations by : Luise Blank
Download or read book Stability-type Results for Collocation Methods for Volterra Integral Equations written by Luise Blank and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Volterra Integral Equations by : Hermann Brunner
Download or read book Volterra Integral Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2017-01-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: See publisher description :
Book Synopsis The Numerical Solution of Volterra Equations by : Hermann Brunner
Download or read book The Numerical Solution of Volterra Equations written by Hermann Brunner and published by North Holland. This book was released on 1986 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.
Book Synopsis Colloquium Numerical Treatment of Integral Equations by : H. J. J. te Riele
Download or read book Colloquium Numerical Treatment of Integral Equations written by H. J. J. te Riele and published by . This book was released on 1979 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Weakly Singular Fredholm Integral Equations I: Singularity Preserving Wavelet-Galerkin Methods by : International Business Machines Corporation. Research Division
Download or read book Weakly Singular Fredholm Integral Equations I: Singularity Preserving Wavelet-Galerkin Methods written by International Business Machines Corporation. Research Division and published by . This book was released on 1995 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
