Transformation of the second order boundary value problem into integral form : different approaches and a numerical solution

Szczegóły
Abstrakt

Tytuł:: Transformation of the second order boundary value problem into integral form : different approaches and a numerical solution
Autorzy:: Siedlecki, J.
Ciesielski, M.
Błaszczyk, T.
Data publikacji:: 2015
Słowa kluczowe:: BVP problem
Fredholm integral equation
Fubini's theorem
numerical methods
zagadnienie wartości brzegowych
równanie całkowe Fredholma
twierdzenie Fubinisa
metody numeryczne
Język:: angielski
Dostawca treści:: BazTech
: Artykuł

In this paper we present different approaches to the transformation of the second order ordinary differential equation, with respect to adequate boundary conditions, into integral equations. The obtained equations are Fredholm integral equations of the second kind. Next, a numerical method based on quadrature methods has been proposed to get an approximate solution of these equations.

Informacja

Transformation of the second order boundary value problem into integral form : different approaches and a numerical solution