Abstract
The main objective of this paper is the development of a new parallel integration algorithm for Solving Boundary Value Problem (BVPs) in Ordinary Differential Equation, (ODEs). This algorithm is suitable for running on MIMD computing systems. We will analysis the stability and error control of the developed algorithm .We shall also consider the treatment of stiff boundary value problems by developed technique.
Highlights
Numerical solution of boundary - value problem (BVP) in ODEs is a very active research area
The numerical solution of these problems takes a lot of computer time, if the integration interval is very large or if the system describing the problem consists of a large number of differential equations or if the problem is a stiff problem (consult the following references for more detail Cash (1995), Khalaf (1988, 1990), Khalaf and AlWajih (2000), Khalaf and Al-Murshid (2000)
The objective of this research is the development of a new parallel algorithm which combines parallel integration processes with parallel interpolation to estimate the unknown boundary condition (BC)
Summary
Numerical solution of BVPs in ODEs is a very active research area. Mostly the numerical solution of these problems takes a lot of computer time, if the integration interval is very large or if the system describing the problem consists of a large number of differential equations or if the problem is a stiff problem (consult the following references for more detail Cash (1995), Khalaf (1988, 1990), Khalaf and AlWajih (2000), Khalaf and Al-Murshid (2000). التخوميوة يوي المعوا ال التلاةولية ااعتيا يوة مئئموة للتذلفوذ يوي تاموبال متوا روة مو
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