Results 21 to 30 of about 30,513 (305)

Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]

open access: yesMathematics and Computational Sciences, 2021
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
doaj   +1 more source

Nonlinear Alternative: Application to an Integral Equation [PDF]

open access: yesJournal of Applied Analysis, 1999
We prove the existence of solutions to an integral equation modeling the infiltration of a fluid in an isotropic homogeneous porous ...
openaire   +2 more sources

Inverse problem for a nonlinear partial differential equation of the eighth order

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We study the questions of solvability of the inverse problem for a nonlinear partial differential equation of the eighth order, left-hand side of which is the superposition of pseudoparabolic and pseudohyperbolic operators of the fourth order.
Tursun K Yuldashev
doaj   +1 more source

A Methodology for Obtaining the Different Convergence Orders of Numerical Method under Weaker Conditions

open access: yesMathematics, 2022
A process for solving an algebraic equation was presented by Newton in 1669 and later by Raphson in 1690. This technique is called Newton’s method or Newton–Raphson method and is even today a popular technique for solving nonlinear equations in abstract ...
Ioannis K. Argyros   +3 more
doaj   +1 more source

Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

open access: yesFractal and Fractional, 2020
The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
doaj   +1 more source

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]

open access: yes, 2008
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb   +5 more
core   +1 more source

Exact Solutions for Some Partial Differential Equations by Using First Integral Method [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2011
In this paper, some exact solutions for the convection–diffusion–reaction equation in two dimensions and a nonlinear system of partial differential equations are formally derived by using the first integral method, which are based on the theory of ...
doaj   +1 more source

Numerical Solution of Nonlinear Stochastic Itô–Volterra Integral Equations Driven by Fractional Brownian Motion Using Block Pulse Functions

open access: yesDiscrete Dynamics in Nature and Society, 2021
This paper presents a valid numerical method to solve nonlinear stochastic Itô–Volterra integral equations (SIVIEs) driven by fractional Brownian motion (FBM) with Hurst parameter H∈1/2,1.
Mengting Deng, Guo Jiang, Ting Ke
doaj   +1 more source

Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient

open access: yes, 2012
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis.In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE ...
Mikhailov, SE, Mohamed, NA
core   +1 more source

Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]

open access: yes, 2012
This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L   +7 more
core   +1 more source

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