Abstract
This chapter elaborates the application and procedure of regular perturbation. It is applicable to differential equations with a small parameter. It yields a series of terms of decreasing magnitude that approximate the solution of the original differential equation. It is found that when an equation is changed by only a small amount, the solution will often only change by a small amount. It is suggested to expand the dependent variables in a power series depending on the small parameter in the problem. This series is substituted into the original equation, the boundary conditions, and the initial conditions. It is suggested to expand all of the equations, equate the terms corresponding to different powers of the small parameter, and solve the equations sequentially.
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