MathematicRichards Equation This article talks about Richards Equation, which introduced in 1931 is the main tool for ” Simulations of water transport in soil are ubiquitous”. For…
PhysicsNonlinear Schrödinger Equation Nonlinear Schrödinger Equation can be applied to hydrodynamics, nonlinear optics, nonlinear acoustics, quantum condensates, heat pulses in solids and various other nonlinear instability phenomena. It…
MathematicNonlinear Optics Nonlinear Optics is a branch of optics which studies the nonlinear interactions of electromagnetic radiation and the media. It is typically only observed at very…
MathematicKorteweg–de Vries Equation This article describe about Korteweg–de Vries Equation (KdV), which means of elementary operations as well as by using Bäcklund transform. Special interest is devoted to…
PhysicsFluid Dynamics Fluid Dynamics provides methods for studying the evolution of stars, ocean currents, weather patterns, plate tectonics and even blood circulation. It is the branch of…
PhysicsNavier–Stokes Equations Navier-Stokes Equations are time-dependent and consist of a continuity equation for conservation of mass, three conservation of momentum equations and a conservation of energy equation.…
PhysicsGinzburg–Landau Theory This article focus on Ginzburg–Landau Theory, which observed the existence of two types of superconductors depending on the energy of the interface between the normal…
PhysicsGeneral Relativity General Relativity is introduced a new framework for all of physics and proposed new concepts of space and time. It was Einstein’s stupendous effort to…
MathematicBoltzmann Equation Boltzmann Equation use in modern methods for solving partial differential equations and harmonic analysis to develop an analytical solution method and prove the global existence…
MathematicBellman Equation This article talks about Bellman Equation, which programming breaks a multi-period planning problem into simpler steps at different points in time. It requires keeping track…
MathematicAlgebraic Riccati Equation This article describe about Algebraic Riccati Equation, which is not restrictive for Riccati equations arising in control of infinite-dimensional systems. It is a type of…
MathematicPower-Flow Study Power-Flow Study is an analysis of the system’s capability to adequately supply the connected load. It is also a steady-state analysis whose target is to…