— APPLICATION OF FINITE DIFFERENCE METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

Some Preliminary Comments
To those who might think our approach is too mathematical for a book published in a collection oriented towards computational physics, we would like to say that many of the methods discussed here are used by engineers in industry for solving[r]

Academic Publishers, Dordrecht, The Netherlands, 2003.
3 D. O’Regan, Theory of Singular Boundary Value Problems, World Scientific, River Edge, NJ, USA, 1994.
4 P. Habets and F. Zanolin, “Upper and lower solutions for a generalized Emden-Fowler equation,”
Jour[r]

By constructing available upper and lower solutions and combining the Schauder’s fixed point theorem with maximum principle, this paper establishes su ffi cient and necessary conditions to guarantee the existence of C ld 0 , 1 T as well as C Δ ld 0 , 1 T positive solutions for a clas[r]

Bài toán tính xấp xỉ phương trình đạo hàm riêng xuất hiện nhiều trong khoa học và kỹ thuật. Hiện nay có nhiều phương pháp phổ biến giải bài toán này như: phương pháp Sai phân hữu hạn (FD-Finite Difference), phương pháp Phần tử hữu hạn (FEM-Finite Element Method), phương pháp Phần tử biên (BEM-Bounda[r]

Electromagnetic devices are present everywhere in our daily life. In particular, they extremely play an important role in the fields of the electrical system. Therefore, the modeling and analyzing the electromagetic problems become currently a matter of concern and topicality for researchers and des[r]

We propose a new monotone finite-difference scheme for the second-order local approximation on a nonuniform grid that approximates the Dirichlet initial boundary value problem (IBVP) for the quasi-linear convection-diffusion equation with unbounded nonlinearity, namely, for the Gamma equation obtain[r]

We propose a new monotone finite-difference scheme for the second-order local approximation on a nonuniform grid that approximates the Dirichlet initial boundary value problem (IBVP) for the quasi-linear convection-diffusion equation with unbounded nonlinearity, namely, for the Gamma equation obtain[r]

[8] G. V. Smirnov, Introduction to the Theory of Differential Inclusions , Graduate Studies in Mathe- matics, vol. 41, American Mathematical Society, Rhode Island, 2002.
Petr Stehl´ık: Department of Mathematics, Faculty of Applied Sciences, University of West Bo- hemia,[r]

l1 , n = 1 , 2 , . . . (14. 4 . 4 . 11 ) The functions ψ n = ψ n (y) are determined by solving the following problem for a linear ordinary differential equation with homogeneous boundary conditions:
ψ yy – λ n ψ = 0 ; ψ = 0 at y = 0 . (14. 4 . 4 . 12 ) It is a special case