New Trends in the Applications of Differential Equations in Sciences : NTADES 2025, Saints Constantine and Helena, Bulgaria, September 1–4 / edited by Angela Slavova.

Format:

Book

Contributor:

Slavova, Angela., editor.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 533

Language:

English

Subjects (All):

Differential equations.

Mathematical physics.

Numerical analysis.

Biomathematics.

Differential Equations.

Mathematical Methods in Physics.

Numerical Analysis.

Mathematical and Computational Biology.

Local Subjects:

Differential Equations.

Mathematical Methods in Physics.

Numerical Analysis.

Mathematical and Computational Biology.

Physical Description:

1 online resource (856 pages)

Edition:

1st ed. 2026.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2026.

Summary:

This book gathers selected works covering research in mathematics on new methods and techniques for the applications of differential equations, presented at the 12th International Conference “New Trends in the Applications of Differential Equations in Sciences” (NTADES), held in Saints Constantine and Helena, Bulgaria, from September 1–4, 2025. The book is organized around eight key themes, with applications in mathematical physics, mathematical biology, financial mathematics, mechanics, fractional analysis, numerical methods, big data and computer science, and artificial intelligence and neural networks. By showcasing fundamental research in both theoretical and applied mathematics, this book aims to promote new tools and approaches that can effectively address real-life challenges through the application of differential equations.

Contents:

Weighted resolvent estimates for Laplace Operator with point interactions

Cauchy Problem for Non-local Parabolic PDEs

From Lipschitz to One Sided Lipschitz

Short Overview of the Advances in the SEsM Methodology for Obtaining Exact Solutions of Nonlinear Differential Equations

Simulations of Local Characteristics on Flow, Heat Transfer, and Electrostatics, Using Potentials by Analytical Functions

Exact Solutions of a Model Equation for Shallow-Water Waves

Localized Traveling Waves in a Spatio-Temporal Population Interaction Model

Investigation of Fire Wave Dynamics in Forest Ecosystems via a Hyperbolic Advection - Reaction-Diffusion Equation: Part I. Analytical Solutions

Travelling Wave Solutions for a Two-Species Competitive Model in Ecology

Explicit Formulae to the Solutions of the Cauchy Problem for Schrödinger Type Linear PDEs Depending on Small Parameter

Application of Ordinary Differential Equations for Modeling the Cutting Process in Robotic Harvesting of Fruits and Vegetables

Exact solutions of another model equation for shallow-water waves.

Notes:

Print version record.

ISBN:

9783032170712