Results 51 to 60 of about 2,494,573 (234)

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Advances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah, Aman Ullah, Kamal Shah, Dumitru Baleanu   +3 more
doaj   +1 more source

Solution of Two-dimensional Fredholm Integral Equation via RBF-triangular Method

, 2012
In this paper, a new method is introduced to solve a two-dimensional Fredholm integral equation. The method is based on the approximation by Gaussian radial basis functions and triangular nodes and weights.
Amir Fallahzadeh
semanticscholar   +1 more source

Heart failure‐induced reprogramming of salt‐evoked neurovascular coupling in the rat hypothalamus

The Journal of Physiology, Volume 604, Issue 18, Page 7845-7868, 15 September 2026.
Abstract figure legend In sham rat, hypertonic saline induces activation of the AVP neurons, leading to dendritic AVP release and subsequent V1aR‐mediated PA vasoconstriction resulting in local tissue hypoxia in the SON. In heart failure rat, hypertonic saline similarly induces activation of the AVP neuron leading to dendritic AVP release.
Ranjan K. Roy, Elba Campos Lira, Manuel Bita Ongolo, Jessica A. Filosa, Javier E. Stern   +4 more
wiley   +1 more source

A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
doaj   +1 more source

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13361-13381, August 2026.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

Nonlinear Fredholm Integral Equation of the Second Kind with Quadrature Methods

Journal of Mathematical Extension, 2010
In this paper, a numerical method for solving the nonlinear Fredholm integral equation is presented. We intend to approximate the solution of this equation by quadrature methods and by doing so, we solve the nonlinear Fredholm integral equation more ...
M. Jafari Emamzadeh, M. Tavassoli Kajani
doaj  

On the solution of intuitionistic fuzzy nonlinear Fredholm integral equation using direct computational method

Journal of Big Data
Fuzzy integral equations play an important role in addressing uncertain mathematical problems. There are various techniques present in the literature to solve fuzzy linear integral equations.
Zain Khan, Saleem Abdullah, Ariana Abdul Rahimzai, Saifullah Khan   +3 more
doaj   +1 more source

Approximate Solution of Some Classes of Integral Equations Using Bernstein Polynomials of Two-Variables

مجلة بغداد للعلوم, 2012
The research aims to find approximate solutions for two dimensions Fredholm linear integral equation. Using the two-variables of the Bernstein polynomials we find a solution to the approximate linear integral equation of the type two dimensions.
Baghdad Science Journal
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Applications of Normal S-Iterative Method to a Nonlinear Integral Equation

The Scientific World Journal, 2014
It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
doaj   +1 more source