An Alternating-Direction Sinc-Galerkin method for elliptic problems
نویسندگان
چکیده
ii APPROVAL of a dissertation submitted by Nicomedes Alonso III This dissertation has been read by each member of the dissertation committee and has been found to be satisfactory regarding content, English usage, format, citations, bibliographic style, and consistency, and is ready for submission to the MSU Division of Graduate Education. In presenting this dissertation in partial fulfillment of the requirements for a doctoral degree at Montana State University, I agree that the Library shall make it available to borrowers under rules of the Library. I further agree that copying of this dissertation is allowable only for scholarly purposes, consistent with " fair use " as prescribed in the U. S. North Zeeb Road, Ann Arbor, Michigan 48106, to whom I have granted " the exclusive right to reproduce and distribute my dissertation in and from microform along with the non-exclusive right to reproduce and distribute my abstract in any format in whole or in part. " Nicomedes Alonso III April 2009 iv ACKNOWLEDGEMENTS With profound gratitude, I humbly dedicate this dissertation in remembrance of my mother, Candelaria de la Caridad Benitez Abascal de Alonso, who was " Mima " to all of us; to the memory of my father, Nicomedes Alonso Acosta, who sacrificed so much so his children could be free; to my soul mate, Giuseppina Yvonna Audisio, his time, his generous support and his kind guidance.
منابع مشابه
A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method
In this paper, we consider two dimensional nonlinear elliptic equations of the form $ -{rm div}(a(u,nabla u)) = f $. Then, in order to solve these equations on rectangular domains, we propose a numerical method based on Sinc-Galerkin method. Finally, the presented method is tested on some examples. Numerical results show the accuracy and reliability of the proposed method.
متن کاملImplementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary condition
The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ill-posed inverse problems, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of $x$, say $...
متن کاملSinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...
متن کاملSolution of Troesch's problem through double exponential Sinc-Galerkin method
Sinc-Galerkin method based upon double exponential transformation for solving Troesch's problem was given in this study. Properties of the Sinc-Galerkin approach were utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations was obtained.The error bound of the method was found. ...
متن کاملAn Approximation Method for Contaminant Transport Equation
There are few techniques available to numerically solve contaminant transport equation. In this paper we show that the Sinc-Galerkin method is a very effective tool in numerically solving contaminant transport equation. The numerical results demonstrate the reliability and efficiency of using the Sinc-Galerkin method to solve such problems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Complexity
دوره 25 شماره
صفحات -
تاریخ انتشار 2009