Results 61 to 70 of about 1,498 (180)

Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
doaj   +3 more sources

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

Discovering data‐driven microbial growth models with symbolic regression

Methods in Ecology and Evolution, Volume 17, Issue 7, Page 2135-2148, July 2026.
Abstract Connecting mathematical models with empirically measured microbial growth has remained challenging, as numerous competing models based on different theoretical approaches can fit observations. Therefore, we develop a method to automatically propose growth models from microbial data alone. We validate this approach using an available dataset of
T. Anthony Sun, Dovydas Kičiatovas, Inga‐Katariina Aapalampi, Teemu Kuosmanen, Teppo Hiltunen, Ville Mustonen   +5 more
wiley   +1 more source

Inferring Interspecific Interactions Among African Savannah Herbivores Using Detectability‐Corrected Co‐Abundance Patterns

African Journal of Ecology, Volume 64, Issue 5, July 2026.
ABSTRACT Competition and facilitation are fundamental concepts in ecology, but evidence for the strength and direction of interspecific interactions within trophic levels is difficult to obtain, particularly in large assemblages of free‐ranging animals.
Harry B. M. Wells, Izak P. J. Smit, Judith Botha, Robert M. Pringle, Ramiro D. Crego   +4 more
wiley   +1 more source

Multispecies Niche Overlap: Moving Beyond Pairwise Metrics to Understand Community‐Wide Similarities in Resource Use

Ecology and Evolution, Volume 16, Issue 6, June 2026.
Measures of niche overlap are important tools in various ecological and evolutionary studies. Here we create and apply a multispecies overlap metric to both simulated and empirical communities, illustrating how this methodology may capture interactions and structure of niche space in ways that traditional, pairwise metrics overlook.
Cody M. Kent, Scott Powell, Thomas W. Sherry   +2 more
wiley   +1 more source

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

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source

Asymptotic analysis of a volterra integral equation

Applied Mathematics Letters, 1988
A Volterra integral equation of the form \(u(t)=\epsilon \int^{t}_{0}[\pi (t-s)]^{-1/2}F(u(s),s)ds\) is considered where \(F(0,t)\sim c_ 0t^{-r_ 0}\) and \(F_ u(0,t)\sim -c_ 1t^{-r_ 1}\) as \(t\to +\infty\) and \(r_ ...
openaire   +2 more sources

Singular Integral Equations of the Volterra Type [PDF]

Transactions of the American Mathematical Society, 1914
Equations of the form (1) sometimes arise,1: however, for which the conditions of Evans's theorem are not satisfied. Various cases in which this is true are considered in the present paper. In each instance an attempt is made not merely to prove the existence of a continuous solution, but also to determine its behavior for large values of x.
openaire   +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