Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir

Mohd Nasir, Diana Sirmayunie (2010) Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir. [Research Reports] (Unpublished)

Abstract

In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where the numerical comparison between the Euler and Runge-Kutta methods are being investigated. We prove the existence of solutions to the multipoint by Schaeffer fixed point theorem and uniqueness of solutions by the Contraction Mapping Principal.

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Metadata

Item Type: Research Reports
Creators:
CreatorsID Num. / Email
Mohd Nasir, Diana SirmayunieUNSPECIFIED
Subjects: Q Science > QA Mathematics > Analysis > Difference equations. Functional equations. Delay differential equations. Integral equations
Divisions: Universiti Teknologi MARA, Shah Alam > Research Management Centre (RMC)
Item ID: 26321
Uncontrolled Keywords: Banach Contraction Mapping Principals, Euler, Runge-Kutta methods, differential equations.
URI: http://ir.uitm.edu.my/id/eprint/26321

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