Heat Transfer and Energy Balance in 1D and 2D using Finite Difference Methods and PDE Toolbox Finite Difference and Finite Element Methods for 2D Steady-State Heat Transfer - Indexing variations ...

Partial differential equation (PDE) models are commonly used to model complex dynamic systems in applied sciences such as biology and finance. The forms of these PDE models are usually proposed by ...

This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES). Beginning from the definition of a partial differential equation to the recent developments of ...

In this paper, we study oscillatory properties of solutions for the nonlinear impulsive hyperbolic equations with several delays. We establish sufficient conditions for oscillation of all solutions.

Recent decades have witnessed a bloom in research at the interface of complex geometry and nonlinear partial differential equations. This interdisciplinary field explores the deep and intricate ...

Abstract: In this work, we exploit a grid-like network of waveguide-based metatronic circuits to calculate the solutions to partial differential equations (PDEs) in the form of the Helmholtz wave ...

Differential equations are the foundation of mathematical models representing the universe's physics. Hence, it is significant to solve partial and ordinary differential equations, such as ...

Neural Network Implicit Representation of Partial Differential Equations. The problems here are solved using a simple high order MLP where the the input is (x,t) in 1D and the output is density, ...

In this paper, we discuss efficient pricing methods via a partial differential equation (PDE) approach for long-dated foreign exchange (FX) interest rate hybrids under a three-factor multicurrency ...

Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania. Department of Mathematics, University of Vlora, Vlora, Albania. A new integral transform is derived from the classical ...