Results 301 to 310 of about 3,263,025 (375)

On the fuzzy initial value problem

Fuzzy Sets and Systems, 1987
Abstract The initial value problem x ′( t ) = f ( t , x ( t )), x (0)= x 0 , with fuzzy initial value and with deterministic or fuzzy function f is considered. Two different approaches, viz. the extension principle and the use of extremal solutions of deterministic initial value problems, are applied.
S. Seikkala
openaire   +3 more sources

Initial Value Problems

2016
In this chapter we derive numerical methods to solve the first-order differential equation $$\displaystyle{ \frac{dy} {dt} = f(t,y),\;\;\text{ for }\;0
Richard Khoury, Douglas Wilhelm Harder
openaire   +4 more sources

Numerical Methods for Ordinary Differential Systems: The Initial Value Problem

, 1991
Background Material. Introduction to Numerical Methods. Linear Multistep Methods. Predictor--Corrector Methods. Runge--Kutta Methods. Stiffness: Linear Stability Theory. Stiffness: Nonlinear Stability Theory. References. Index.
J. Lambert
semanticscholar   +1 more source

Initial Value Problems

2014
This chapter discusses the basic problems for solutions of initial value problems: existence and uniqueness, continuation, and dependence on parameters and initial conditions.
S.P. Venkateshan, Prasanna Swaminathan
openaire   +3 more sources

A New Look at the Fractional Initial Value Problem: The Aberration Phenomenon

Journal of Computational and Nonlinear Dynamics, 2018
A typical phenomenon of the fractional order system is presented to describe the initial value problem from a brand-new perspective in this paper. Several simulation examples are given to introduce the named aberration phenomenon, which reflects the ...
Yanting Zhao   +3 more
semanticscholar   +1 more source

Initial-Value Problems for ODE [PDF]

open access: possible, 2012
The ability to reliably solve initial-value problems for ordinary differential equations is essential in order to understand the evolution of dynamical systems. In this chapter we deal with methods of advancing the given initial state of a system to later times, explaining clearly the role of stiffness, local discretization and round-off errors, and ...
Martin Horvat, Simon Širca
openaire   +1 more source

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