Numerical solution of iterative ordinary differential equation by integration method
Maitree Podisuk
Abstract
Maitree Podisuk
Abstract
In [1], A. Pelczar introduced and proved the existence and uniqueness of the second order iterative ordinary differential equations. The proof of the existence and uniqueness theorem of the general equation of iterative ordinary differential equation was given by M. Podisuk in [2]. In [3], M. Podisuk introduced and proved the existence and uniqueness of the simple iterative ordinary differential equations. In [4], M. Podisuk and W. Sanprasert introduced the integration method for finding the numerical solution of the initial value problem of ordinary differential equation with the help of Taylor series expansion. This integration method gives the way of solving for the numerical solution of the iterative ordinary differential equation. However the method of finding the analytical solution of the iterative ordinary differential equation is not known.
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In [1], A. Pelczar introduced and proved the existence and uniqueness of the second order iterative ordinary differential equations. The proof of the existence and uniqueness theorem of the general equation of iterative ordinary differential equation was given by M. Podisuk in [2]. In [3], M. Podisuk introduced and proved the existence and uniqueness of the simple iterative ordinary differential equations. In [4], M. Podisuk and W. Sanprasert introduced the integration method for finding the numerical solution of the initial value problem of ordinary differential equation with the help of Taylor series expansion. This integration method gives the way of solving for the numerical solution of the iterative ordinary differential equation. However the method of finding the analytical solution of the iterative ordinary differential equation is not known.
Key concepts: Ordinary differential equation, Mathematics, Uniqueness, Exact differential equation, Differential equation, Iterative method, Explicit and implicit methods, Mathematical analysis