ABSTRACT
This chapter focuses on using numerical methods to find approximate solutions to differential equations by taking advantage of today’s computational powers and numerical capabilities. It provides some basic knowledge about what approximate solutions to differential equations are like and how they are found. Knowing that the method of weighted integral of residual helps find approximate solutions to differential equations, one cannot stop wondering how good such approximate solutions are. The chapter presents an example that demonstrates that the polynomial-based approximate solutions can sometimes produce results that closely match the analytical solution when proper polynomial terms are selected.
