Partial Differential Equations In Mechanics Research Articles

Book Review: Partial Differential Equations in Mechanics. By A. P. C. Selvadurai

Book Review: Partial Differential Equations in Mechanics. By A. P. C. Selvadurai

Partial differential equations in mechanics 1: fundamentals, Laplace's equation, diffusion equation, wave equation

Partial differential equations in mechanics 1: fundamentals, Laplace's equation, diffusion equation, wave equation

Partial differential equations in mechanics 2: the biharmonic equation, Poisson's equation

Partial differential equations in mechanics 2: the biharmonic equation, Poisson's equation

Solutions of the equation \documentclass{article}\pagestyle{empty}\begin{document}$$ \partial _t^n f(x,t) = \hat L(x,t)f(x,t) + S(x,t) $$\end{document}. Exact solutions of some partial differential equations in mechanics and physics

AbstractThe solutions of the equation \documentclass{article}\pagestyle{empty}\begin{document}$ \partial _t^n f(x,t) = \hat L(x,t)f(x,t) + S(x,t) $\end{document}, for L̂ a linear operator are derived. Different forms for L̂ whether it is time independent or time dependent and self‐commutative (or not) at different times are considered separately. By using the results obtained, exact solutions of some partial differential equations are found for the first time.