Bifurcation in Difference Approximations to Two-Point Boundary Value Problems
نویسندگان
چکیده
منابع مشابه
Bifurcation in Difference Approximations to Two-Point Boundary Value Problems
Numerical methods for bifurcation problems of the form (*) Ly = Xf(y), By = 0, where/(0) = 0 and /'(0) ^ 0, are considered. Here y is a scalar function, A. is a real scalar, L is a linear differential operator and By = 0 represents some linear homogeneous two-point boundary conditions. Under certain assumptions, it is shown that if (*) is replaced by an appropriate difference scheme, then there...
متن کاملChebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory
In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference schem...
متن کاملB-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS
In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.
متن کاملTridiagonal Fourth Order Approximations to General Two-Point Nonlinear Boundary Value Problems with Mixed Boundary Conditions
This paper develops fourth order discretizations to the two-point boundary value problem y(2kt)=f(t,y(t),y(1\t)), ^o^0) "o^(1)(°) = 60' al ?W + "l^1^1) = 5 1These discretizations have the desirable properties that they are tridiagonal and of "positive type".
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: Mathematics of Computation
سال: 1975
ISSN: 0025-5718
DOI: 10.2307/2005286