Physical Sciences and Mathematics Commons^™

Explicit And Implicit Methods In Solving Differential Equations, Timothy Bui

Honors Scholar Theses

Differential equations are equations that involve an unknown function and derivatives. Euler's method are efficient methods to yield fairly accurate approximations of the actual solutions. By manipulating such methods, one can find ways to provide good approximations compared to the exact solution of parabolic partial differential equations and nonlinear parabolic differential equations.