Results 311 to 320 of about 3,263,025 (375)
Some of the next articles are maybe not open access.
Fuzzy fractional initial value problem
Journal of Intelligent & Fuzzy Systems, 2015We consider initial value problems for differential equations of fractional order with uncertainty and present the theory and some numerical methods to solve such type of problems under generalized differentiability conditions.
P. Prakash +4 more
semanticscholar +1 more source
The initial value problem for a Novikov system
, 2016It is shown that the initial value problem for an integrable Novikov system is well-posed in Sobolev spaces Hs, s > 3/2, in the sense of Hadamard. Furthermore, it is proved that the dependence on initial data is sharp, i.e., the data-to-solution map is ...
A. Himonas, D. Mantzavinos
semanticscholar +1 more source
A Fitted Scheme for a Caputo Initial-Boundary Value Problem
Journal of Scientific Computing, 2018In this paper we consider an initial-boundary value problem with a Caputo time derivative of order α∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
J. Gracia, E. O'Riordan, M. Stynes
semanticscholar +1 more source
2012
In the previous chapter we derived a simple finite difference method, namely the explicit Euler method, and we indicated how this can be analysed so that we can make statements concerning its stability and order of accuracy. If Euler’s method is used with constant time step h then it is convergent with an error of order O(h) for all sufficiently smooth
Karline Soetaert +2 more
openaire +2 more sources
In the previous chapter we derived a simple finite difference method, namely the explicit Euler method, and we indicated how this can be analysed so that we can make statements concerning its stability and order of accuracy. If Euler’s method is used with constant time step h then it is convergent with an error of order O(h) for all sufficiently smooth
Karline Soetaert +2 more
openaire +2 more sources
, 1998 Historically, the study of differential equations originated in the beginnings of calculus with Newton and Leibniz in the seventeenth century and is closely interwoven with the general development of mathematics. To a substantial degree, the central role of differential equations within mathematics is due to the fact that many important problems in ...
openaire +1 more source
On the numerical study of nonlinear initial-boundary value problems or initial-value problems
Applied Mathematics and Computation, 2001This paper deals with a numerical study for two problems first of which is a system of nonlinear initial-boundary value problems for a certain version of Boussinesque system of equations, by using two quadratic forms. The second one is to investigate and construct the numerical solution for a system of nonlinear initial-value problems which is ...
Zaki F. A. El-Reheem, A. H. Nasser
openaire +2 more sources
On the initial value problem of fractional stochastic evolution equations in Hilbert spaces
, 2015In this article, we are concerned with the initial value problem of fractional stochastic evolution equations in real separable Hilbert spaces. The existence of saturated mild solutions and global mild solutions is obtained under the situation that the
Pengyu Chen, Yongxiang Li, Xuping Zhang
semanticscholar +1 more source
1997
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to $$ \left\{ {\begin{array}{*{20}{c}}{y' =
openaire +4 more sources
We begin our applications of fixed point methods with existence of solutions to certain first order initial initial value problems. This problem is relatively easy to treat, illustrates important methods, and in the end will carry us a good deal further than may first meet the eye. Thus, we seek solutions to $$ \left\{ {\begin{array}{*{20}{c}}{y' =
openaire +4 more sources
2003
It is not easy to see how a uniform or nearly uniform wave train can realistically emerge from some general initial condition or from a realistic forcing unless the initial condition or the forcing is periodic. That turns out not to be the case, and the ideas we have so far developed about group velocity and energy propagation turn out to be invaluable
openaire +2 more sources
It is not easy to see how a uniform or nearly uniform wave train can realistically emerge from some general initial condition or from a realistic forcing unless the initial condition or the forcing is periodic. That turns out not to be the case, and the ideas we have so far developed about group velocity and energy propagation turn out to be invaluable
openaire +2 more sources
The initial-value problem for the Korteweg-de Vries equation
Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences, 1975For the Korteweg-de Vries equation ut+ux+uux+uxxx=0, existence, uniqueness, regularity and continuous dependence results are established for both the pure initial-value problem (posed on -∞
J. Bona, R. Smith
semanticscholar +1 more source