Книга: Mariam M. Hilal and Luma N. M. Tawfiq «Multi-Point Boundary Value Problems»
|
Производитель: "LAP Lambert Academic Publishing" This book proposes a semi-analytic technique to solve high-order non-linear multipoint boundary value problem for ordinary differential equation with non-local boundary conditions. The algorithm based on the two-point osculatory interpolation, essentially this is a generalization of interpolation using Taylor polynomials. The idea is to approximate a function y by a polynomial P in which values of y and any number of its derivatives at given points are fitted by the corresponding function values and derivatives of P. Illustrative examples are provided to demonstrate the efficiency, accuracy and simplicity of the proposed method in solving this type of boundary value problems, where the suggested solution is compared with the exact solution and the solution of iterative method, shooting method, uniform Haar wavelets and homotopy perturbation method (HPM). Also, we introduce some general observations about control of a residual and we proposed a new formula developed to estimate... ISBN:9783838368443 Издательство: "LAP Lambert Academic Publishing" (2012)
ISBN: 9783838368443 |
См. также в других словарях:
Multi-criteria decision analysis — Multiple criteria decision making or multiple criteria decision analysis is a sub discipline of operations research that explicitly considers multiple criteria in decision making environments. Whether in our daily lives or in professional… … Wikipedia
Multi-objective optimization — (or multi objective programming),[1][2] also known as multi criteria or multi attribute optimization, is the process of simultaneously optimizing two or more conflicting objectives subject to certain constraints. Multiobjective optimization… … Wikipedia
Optimal control — theory, an extension of the calculus of variations, is a mathematical optimization method for deriving control policies. The method is largely due to the work of Lev Pontryagin and his collaborators in the Soviet Union[1] and Richard Bellman in… … Wikipedia
List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra … Wikipedia
Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the … Wikipedia
Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite … Wikipedia
