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» A New Iterative Method for Solving Initial Value Problems
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CSC
2009
14 years 11 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
15 years 3 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
85
Voted
AMC
2007
136views more  AMC 2007»
14 years 10 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
74
Voted
AMC
2005
195views more  AMC 2005»
14 years 10 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
95
Voted
MOC
2002
98views more  MOC 2002»
14 years 10 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