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Sextic spline solutions of fifth order boundary value problems
The sextic spline is used for numerical solutions of the fifth order linear special case boundary value problems. End conditions for the definition of the spline are derived, consistent with the fifth order boundary value problem. The algorithm developed
Siddiqi, Shahid S., Akram, Ghazala
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In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries ...
Zhao Xiangqing +2 more
doaj +2 more sources
We have established the existence and uniqueness of the local solution for (0.1)∂tu+∂x5u−u∂xu=0 ...
Zhao Xiangqing +2 more
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Solving third order boundary value problem with fifth order method [PDF]
A fifth order direct method is developed for the numerical solution of nonlinear boundary value problems (BVPs) directly. Most of the existence research involving BVPs will reduce the problem to a system of first order Ordinary Differential Equations ...
Senu, Norazak +2 more
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A comparison on solutions of fifth-order boundary-value problems [PDF]
A fast and accurate numerical scheme for the solution of fifth-order boundary-value problems has been investigated in this work. We apply the reproducing kernel method (RKM) for solving this problem.
Kılıçman, Adem +3 more
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A hybrid convergent method of tenth-order is presented in this work for directly solving fifth-order boundary value problems in ordinary differential equations.
Higinio Ramos, Adelegan L. Momoh
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Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems
We have presented an efficient spectral algorithm based on shifted Jacobi tau method of linear fifth-order two-point boundary value problems (BVPs). An approach that is implementing the shifted Jacobi tau method in combination with the shifted Jacobi ...
A. H. Bhrawy +2 more
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Approach to a Fifth-Order Boundary Value Problem, via Sperner's Lemma
We consider the five-point boundary value problem for a fifth-order differential equation, where the nonlinearity is superlinear at both the origin and +infinity. Our method of proof combines the Kneser’s theorem with the well-known from combinatorial topology Sperner’s lemma.
Panos K. Palamides +1 more
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The numerical solution of fifth-order boundary value problems by the variational iteration method
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The numerical solution of fifth-order boundary value problems by the decomposition method
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Abdul-Majid Wazwaz
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