Results 31 to 40 of about 845 (103)

New, Highly Accurate Propagator for the Linear and Nonlinear Schr\"odinger Equation

, 2012
A propagation method for the time dependent Schr\"odinger equation was studied leading to a general scheme of solving ode type equations. Standard space discretization of time-dependent pde's usually results in system of ode's of the form u_t -Gu = s ...
A. Alvermanna, C. Leforestier, D. Kosloff, D.J. Tannor, H. Tal Ezer, H. Tal Ezer, H. Tal Ezer, H.-D. Meyer, Hillel Tal-Ezer, Ido Schaefer, J.P. Palao, M. Caliari, M. Hochbruck, M. Hochbruck, M. Hochbruck, M. Ndong, M. Ndong, M.D. Feit, N.J. Higham, Ronnie Kosloff, U. Peskin   +20 more
core   +1 more source

Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time Case [PDF]

, 1996
The efficiency of numerically solving time-dependent partial differential equations on parallel computers can be greatly improved by computing the solution on many time levels simultaneously.
Janssen, Jan, Vandewalle, Stefan
core   +2 more sources

Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini, Shrideh Al-Omari, Abdul Rauf Khan   +2 more
wiley   +1 more source

Analyze Second‐Order PDEs Using the Volterra–Fredholm Integral Equation

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this study, we propose a novel approach to address a particular second‐order partial differential equation along with its boundary value conditions (SPDEs). In this process, we transfer the SPDEs problem into Volterra–Fredholm integral equation (VFIE), and we perform the Tau method bases on orthogonal Legendre polynomials directly, for solution of ...
Choonkil Park, Javad Shokri, Richard I. Avery   +2 more
wiley   +1 more source

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

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

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

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

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

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