The Collocation Method For Fourth Order Fuzzy Boundary Value Problems
نویسندگان
چکیده
In this paper, the collocation method is considered to solve nonhomogeneous for fourth order fuzzy boundary value problems, which fuzziness appeared together in conditions and term of differential equation. The solution depends on transforming problem equivalent crisp problems using concept α-level sets.
منابع مشابه
A Collocation Method for Linear Fourth Order Boundary Value Problems
We propose and analyze a numerical method for solving fourth order differential equations modelling two point boundary value problems. The scheme is based on B-splines collocation. The error analysis is carried out and convergence rates are derived.
متن کاملSPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.
متن کاملQuartic-spline Collocation Methods for Fourth-order Two-point Boundary Value Problems Abstract Quartic-spline Collocation Methods for Fourth-order Two-point Boundary Value Problems
Quartic-Spline Collocation Methods for Fourth-Order Two-Point Boundary Value Problems Ying Zhu Master of Science Graduate Department of Computer Science University of Toronto 2001 This thesis presents numerical methods for the solution of general linear fourth-order boundary value problems in one dimension. The methods are based on quartic splines, that is, piecewise quartic polynomials with C3...
متن کاملExistence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...
متن کاملA numerical approach to solve eighth order boundary value problems by Haar wavelet collocation method
In this paper a robust and accurate algorithm based on Haar wavelet collocation method (HWCM) is proposed for solving eighth order boundary value problems. We used the Haar direct method for calculating multiple integrals of Haar functions. To illustrate the efficiency and accuracy of the concerned method, few examples are considered which arise in the mathematical modeling of fluid dynamics an...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ???? ???? ??????? ????????
سال: 2022
ISSN: ['2735-5470']
DOI: https://doi.org/10.35950/cbej.v20i85.8701