scholarly journals On a fifth-order nonselfadjoint boundary value problem

2021 ◽  
Vol 45 (2) ◽  
pp. 767-781
Author(s):  
Ekin UĞURLU ◽  
Kenan TAŞ
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Fifth Order

scholarly journals Approach to a Fifth-Order Boundary Value Problem, via Sperner's Lemma

2011 ◽  
Vol 02 (08) ◽  
pp. 993-998
Author(s):  
Panos K. Palamides ◽  
Evgenia H. Papageorgiou
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Sperner’S Lemma ◽  
Fifth Order

scholarly journals Численный метод решения краевой задачи пятого порядка для обыкновенных дифференциальных уравнений

2018 ◽  
Author(s):  
K.P. Pramod
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Numerical Solution ◽  
Numerical Technique ◽  
Boundary Value ◽  
Test Problems ◽  
Algebraic Equations ◽  
System Of Differential Equations ◽  
Differential Problem ◽  
Fifth Order

In this article we have proposed a technique for solving the fifth order boundary value problem as a coupled pair of boundary value problems. We have considered fifth order boundary value problem in ordinary differential equation for the development of the numerical technique. There are many techniques for the numerical solution of the problem considered in this article. Thus we considered the application of the finite difference method for the numerical solution of the problem. In this article we transformed fifth order differential problem into system of differential equations of lower order namely one and four. We discretized the system of differential equations into considered domain of the problem. Thus we got a system of algebraic equations. For the numerical solution of the problem, we have the system of algebraic equations. The solution of the algebraic equations is an approximate solution of the problem considered. Moreover we get numerical approximation of first and second derivative as a byproduct of the proposed method. We have shown that proposed method is convergent and order of accuracy of the proposed method is at lease quadratic. The numerical results obtained in computational experiment on the test problems approve the efficiency and accuracy of the method.

Direct fifth order block method for solving second order Neumann and singular perturbed boundary value problem

2016 ◽  
Author(s):  
Mohd Mughti Hasni ◽  
Zanariah Abdul Majid ◽  
Norazak Senu ◽  
Sokkalingam Rajalingam ◽  
Hanita Daud ◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Second Order ◽  
Block Method ◽  
Fifth Order

scholarly journals Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
Nashat Faried ◽  
Labib Rashed ◽  
Abdel Baset I. Ahmed ◽  
Mohamed A. Labeeb
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Sobolev Type ◽  
Operator Differential Equation ◽  
Order Operator ◽  
Multiple Characteristic ◽  
Fifth Order

Abstract In this study, we establish existence-uniqueness of a vector function in appropriate Sobolev-type space for a boundary value problem of a fifth-order operator differential equation. Proper conditions are obtained for the given problem to be well-posed. Much effort is devoted to develop the association between these conditions and the operator coefficients of the investigated equation. In this paper, accurate estimates of the norms of the intermediate derivatives operators are presented and used to determine the solvability conditions.

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