New Trends in the Applications of Differential Equations in Sciences

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 Schroedinger 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.

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• Modelagem computacional e simulação
• Cálculo diferencial e equações
• Física Matemática
• Análise numérica
• Biologia, ciências da vida

differential equations;equations of mathematical physics;financial mathematics;mathematical biology;physics informed neural networks;fractional analysis;mechanics;big data;computer science;artificial intelligence;epidemiology;integro-differential equations;numerical methods