Results 31 to 40 of about 47,901 (262)

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

Advances in Difference Equations, 2020
In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented.
Khalid K. Ali, Mohamed A. Abd El Salam, Emad M. H. Mohamed, Bessem Samet, Sunil Kumar, M. S. Osman   +5 more
doaj   +1 more source

Hermite wavelets operational matrix of integration for the numerical solution of nonlinear singular initial value problems

Alexandria Engineering Journal, 2018
In this paper, new operational matrix of integration is generated by using Hermite wavelets. By aid of these matrices, Hermite wavelets operational matrix method (HWOMM) is developed for second ordered nonlinear singular initial value problems ...
S.C. Shiralashetti, S. Kumbinarasaiah
doaj   +1 more source

Adaptive Wavelet Precise Integration Method for Nonlinear Black-Scholes Model Based on Variational Iteration Method

Abstract and Applied Analysis, 2013
An adaptive wavelet precise integration method (WPIM) based on the variational iteration method (VIM) for Black-Scholes model is proposed. Black-Scholes model is a very useful tool on pricing options.
Huahong Yan
doaj   +1 more source

Integration of the Matrix Nonlinear Schr¨odinger Equation with a Source

The Bulletin of Irkutsk State University. Series Mathematics, 2021
This paper is concerned with studying the matrix nonlinear Schr¨odinger equation with a self-consistent source. The source consists of the combination of the eigenfunctions of the corresponding spectral problem for the matrix Zakharov-Shabat system which has not spectral singularities.
G.U. Urazboev, A.A. Reyimberganov, A.K. Babadjanova   +2 more
openaire   +2 more sources

On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations

Mathematics, 2019
In this paper, we study the behavior of Λ , Υ , ℜ -contraction mappings under the effect of comparison functions and an arbitrary binary relation. We establish related common fixed point theorems.
Eskandar Ameer, Muhammad Nazam, Hassen Aydi, Muhammad Arshad, Nabil Mlaiki   +4 more
doaj   +1 more source

Linear and Riccati matrix equations

International Journal of Mathematics and Mathematical Sciences, 1989
In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients.
Lloyd K. Williams
doaj   +1 more source

A Numerical Scheme Based on the Chebyshev Functions to Find Approximate Solutions of the Coupled Nonlinear Sine-Gordon Equations with Fractional Variable Orders

Abstract and Applied Analysis, 2021
In this article, a numerical method based on the shifted Chebyshev functions for the numerical approximation of the coupled nonlinear variable-order fractional sine-Gordon equations is shown.
MohammadHossein Derakhshan
doaj   +1 more source

Nonlinear resonance set for nonlinear matrix equations

Linear Algebra and its Applications, 1999
Given an \(n\times n\) real matrix \(A\), its Fučik spectrum \(A_{-1}\subset\mathbb{R}^2\) is the set of all \([a,b]^T \in\mathbb{R}^2\) such that the (nonlinear) equation \(Ax=ax^+-bx^-\) has a nontrivial solution. Here \(x^\pm\) has the elements \(x_i^\pm= \max\{\pm x_i,0\}\), where \(x_i\) are the elements of \(x\).
Margulies, Caryl, Margulies, William
openaire   +1 more source

Solving‎ ‎Linear and‎ ‎Nonlinear Duffing‎ ‎Fractional Differential Equations Using Cubic Hermite Spline Functions [PDF]

Mathematics Interdisciplinary Research
‎In this work‎, ‎we solve nonlinear Duffing fractional differential equations with integral boundary conditions in the Caputo fractional order derivative sense‎.
Mehrdad Lakestani, Roya Ghasemkhani
doaj   +1 more source

EXAMPLE OF GRAGUAL TRANSFORMATION OF STIFFNESS MATRIX AND MAIN SET OF EQUATIONS AT ADDITIONAL FINITE ELEMENT METHOD

International Journal for Computational Civil and Structural Engineering, 2020
The paper considers the example of gradual transformation of the stiffness matrix and the main set of equations at Additional Finite Element Method (AFEM). It is corresponded to the increase of load and the ideal failure model of structure. AFEM uses the
Anna Ermakova
doaj   +1 more source