Results 41 to 50 of about 985 (108)

New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients

Results in Physics, 2018
In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat, Muhammed Syam, M. Jaradat, Zead Mustafa, S. Momani   +4 more
doaj   +1 more source

Stability of central finite difference schemes for the Heston PDE

, 2010
This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete ...
A Böttcher, A Lipton, D Tavella, E Hairer, E Hairer, JC Butcher, K Volders, Karel J. in ’t Hout, Kim Volders, KJ in ’t Hout, LN Trefethen, P Wilmott, SE Shreve, SL Heston, W Hundsdorfer   +14 more
core   +1 more source

Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations [PDF]

, 1986
We consider a dynamical system described by a system of ordinary differential equations which possesses a compact attracting set Λ of arbitrary shape.
Kloeden, P. E., Lorenz, J.
core   +1 more source

NEW EFFICIENT PHASE-FITTED AND AMPLIFICATION-FITTED RUNGE-KUTTA METHOD FOR OSCILLATORY PROBLEMS

, 2016
A new Runge-Kutta (RK) method is constructed to solve first-order differential equations with oscillatory solutions. This new method is based on the Runge-Kutta method of order four with seven-stage.
F. Adel
semanticscholar   +1 more source

Testing reliability and validity of practitioner‐rated parental sensitivity: A novel tool for practice

Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.
Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer, Mirjam Oosterman, Anne Tharner, Carlo Schuengel   +3 more
wiley   +1 more source

A modified predictor–corrector scheme with graded mesh for numerical solutions of nonlinear Ψ-caputo fractional-order systems

Open Mathematics
The aim of this article is to develop a modified predictor–corrector scheme for solving the system of nonlinear Ψ\Psi -Caputo fractional differential equations with order ...
Songsanga Danuruj, Sa Ngiamsunthorn Parinya   +1 more
doaj   +1 more source

Optimally stable fifth‐order integration methods: a numerical approach

, 1978
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 3, Page 319-334, 1978.
D. J. Rodabaugh, S. Thompson
wiley   +1 more source

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada, Salim Abdelkrim, Benchohra Mouffak   +2 more
doaj   +1 more source

A One Step Method for the Solution of General Second Order Ordinary Differential Equations [PDF]

, 2012
In this paper, an implicit one step method for the numerical solution of second order initial value problems of ordinary differential equations has been developed by collocation and interpolation technique.
Adesanya, A. A., Anake, T. A., Awoyemi, D. O.   +2 more
core   +1 more source

The Lack of Continuity and the Role of Infinite and Infinitesimal in Numerical Methods for ODEs: the Case of Symplecticity

, 2010
When numerically integrating canonical Hamiltonian systems, the long-term conservation of some of its invariants, among which the Hamiltonian function itself, assumes a central role.
Brugnano, Luigi, Iavernaro, Felice, Trigiante, Donato   +2 more
core   +1 more source