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» A New Iterative Method for Solving Initial Value Problems
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CSC
2009
13 years 5 months ago
A New Iterative Method for Solving Initial Value Problems
- In this paper, we introduce a new parameter iteration method (P-Iteration for short) which can be applied on Adams-Moulton methods to solve initial value problems. Compared with ...
Mingshen Wu, Weihu Hong
PARA
2004
Springer
13 years 10 months ago
A Domain Theoretic Account of Euler's Method for Solving Initial Value Problems
Abstract. This paper presents a method of solving initial value problems using Euler’s method, based on the domain of interval valued functions of a real variable. In contrast to...
Abbas Edalat, Dirk Pattinson
AMC
2007
136views more  AMC 2007»
13 years 4 months ago
Iterative method for solving a nonlinear boundary value problem
In this paper, a boundary value problem for a nonlinear second-order ordinary differential equation is studied. By means of the maximum principle we established the existence and...
A. Dang Quang
AMC
2005
195views more  AMC 2005»
13 years 4 months ago
A new symbolic computational approach to singular initial value problems in the second-order ordinary differential equations
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...
Onur Kiymaz, Seref Mirasyedioglu
MOC
2002
98views more  MOC 2002»
13 years 4 months ago
Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems
Abstract. A new strategy to avoid the order reduction of Runge-Kutta methods when integrating linear, autonomous, nonhomogeneous initial boundary value problems is presented. The s...
Mari Paz Calvo, Cesar Palencia