Name: Numerical method for nonlinear differential equation with arbitrary BC (en Inglés)
Price: 211.15 PEN
Availability: InStock
Author: Yahiaoui, Toufik
ISBN: 9786205512203

portada Numerical method for nonlinear differential equation with arbitrary BC (en Inglés)

Formato

Libro Físico

Autor

Toufik Yahiaoui

Editorial

LAP Lambert Academic Publishing

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 0.4 cm

Peso

0.12 kg.

ISBN13

9786205512203

Categorías

Física

Numerical method for nonlinear differential equation with arbitrary BC (en Inglés)

Toufik Yahiaoui (Autor) · LAP Lambert Academic Publishing · Tapa Blanda

Libro Nuevo

S/ 211,15

S/ 422,29

Ahorras: S/ 211,15

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Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Numerical method for nonlinear differential equation with arbitrary BC (en Inglés)"

The aim of this work consists in developing an algorithm and a numerical calculation program allowing to solving a nonlinear arbitrary 2nd and 3rd order differential equation (DE) of with generalized Cauchy boundary conditions (BC) over the interval [a1, a2]. The Dirichlet and Neumann BC becomes a particular case. The problem consists in transforming the DE to a system of n(n+1) nonlinear DE of the first order (FODE) with initial n conditions (IC), of which n equations justify the function y(x) and these (n-1) successive derivatives, and of n2 functions again witch justify the transformation of the DE towards a system of FODE with IC. The number n is the order of the DE. The resolution of this system of equations is made by the adaptation of the Runge Kutta method of order 4. The determination of the IC is made by the resolution of an algebraic system of n nonlinear equations, of which the resolution is made simultaneously by the Newton's method. For each iteration of Newton's method, a system of nonlinear algebraic equations is obtained whose solution is made by the method of Gauss.