Results 11 to 20 of about 30,513 (305)

Convergence of Numerical Solution of Generalized Theodorsen’s Nonlinear Integral Equation [PDF]

open access: yesAbstract and Applied Analysis, 2014
We consider a nonlinear integral equation which can be interpreted as a generalization of Theodorsen’s nonlinear integral equation. This equation arises in computing the conformal mapping between simply connected regions.
Mohamed M. S. Nasser
doaj   +2 more sources

Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

open access: yesInternational Journal of Analysis and Applications, 2023
In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition. In particular, we prove the existence and the uniqueness of the linear problem by the Fadeo Galerkin method, and by applying an iterative process to some ...
Iqbal M. Batiha   +5 more
doaj   +3 more sources

On Solutions of a Nonlinear Erdélyi-Kober Integral Equation [PDF]

open access: yesAbstract and Applied Analysis, 2014
We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev   +2 more
doaj   +2 more sources

On the Integral Equation Arising in the Biological Model After the Power-3 Closure

open access: yesСовременные информационные технологии и IT-образование, 2019
This article is devoted to the nonlinear integral equation arising in the biological model of Ulf Dieckmann and Richard Low. A brief review of the model of foreign authors Individual-based model is made, the meaning and necessity of introducing spatial ...
Serafim R. Gadzhiev, Alexey A. Nikitin
doaj   +1 more source

Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

open access: yesJournal of Function Spaces, 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami   +2 more
doaj   +1 more source

Nonlinear integrable equations and nonlinear Fourier transform [PDF]

open access: yes, 1997
In the paper we study nonlocal functionals whose kernels are homogeneous generalized functions. We also use such functionals to solve the Korteweg-de Vries , the nonlinear Schrödinger and the Davey-Stewartson equations.
Fokas, A. S.   +2 more
openaire   +2 more sources

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

On Chandrasekhar functional integral inclusion and Chandrasekhar quadratic integral equation via a nonlinear Urysohn–Stieltjes functional integral inclusion

open access: yesAdvances in Difference Equations, 2021
We investigate the existence of solutions for a nonlinear integral inclusion of Urysohn–Stieltjes type. As applications, we give a Chandrasekhar quadratic integral equation and a nonlinear Chandrasekhar integral inclusion.
Ahmed El-Sayed   +2 more
doaj   +1 more source

Integrable Nonlocal Nonlinear Equations

open access: yesStudies in Applied Mathematics, 2016
A nonlocal nonlinear Schrödinger (NLS) equation was recently found by the authors and shown to be an integrable infinite dimensional Hamiltonian equation. Unlike the classical (local) case, here the nonlinearly induced “potential” is symmetric thus the nonlocal NLS equation is also symmetric.
Ablowitz, Mark J., Musslimani, Ziad H.
openaire   +4 more sources

Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]

open access: yes, 2012
An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H   +11 more
core   +1 more source

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