Elementary Partial Differential Equations. Simplified Theory

      Аннотация: The importance of partial differential equations cannot be gainsaid. They are used in science and engineering. Many natural phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow etc occurring in science and engineering are described by partial differential equations. Partial differential equations often model mathematical systems where many variables exist. They are also used in statistics especially in the field of stochastic processes.

Ключевые слова: Partial Differential Equations, ordinary differential equations, orthogonal trajectories, Lagrange’s method, Cauchy’s method, transforms, non-linear partial differential equations, Monge’s method, finite differences, Adomian decomposition method.