Results 81 to 90 of about 11,797 (246)
Electronic Journal of Differential Equations, 2015 A numerical method based on Legendre multi-wavelets is applied for solving Lane-Emden equations which form Volterra integro-differential equations. The Lane-Emden equations are converted to Volterra integro-differential equations and then are solved ...
Prakash Kumar Sahu, Santanu Saha Ray
doaj
Complexity, Volume 2026, Issue 1, 2026.This study investigates a discrete‐time predator–prey model that includes both prey refuge and memory effects. The research identifies the conditions under which fixed points exist and remain stable. A key focus is placed on analyzing different types of bifurcation—such as period doubling (PD), Neimark–Sacker (NS), and strong resonances (1 : 2, 1 : 3 ...
S. M. Sohel Rana +2 more
wiley +1 more source
The Scientific World Journal, 2014 A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
doaj +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh +6 more
wiley +1 more source
Optimal insider control of stochastic Volterra equations [PDF]
, 2017 Olfa Draouil
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam +4 more
wiley +1 more source
A numerical method to solve fractional Fredholm-Volterra integro-differential equations
, 2023 Antonela Toma, Octavian Postavaru
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Complex Dynamics of Ecoepidemiological Model of Fear‐Induced Infected Prey and Predator
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Ecoepidemiology is a discipline within biomathematics that investigates and analyzes the dynamics of infectious disease transmission, emphasizing on the interactions among species and tackling both ecological and epidemiological issues. For many years, a multitude of studies has concentrated on exploring the effects of disease in predator–prey dynamics.
Bhagya laxmi Koyada +3 more
wiley +1 more source
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj
A novel computational method for solving nonlinear Volterra integro-differential equation
, 2020 Musa Çakır +2 more
openalex +2 more sources