Application of Fourier Cosine Series to Solution to Differential Equations concerns a very effective method of continuous approximation to solving to initial and boundary-value problems for ordinary differential equations and initial-boundary-value problems for partial differential equations. The idea of the method is based on Fourier cosine series and is completely different from the concept of spectral methods and other methods of continuous approximation.

Numerous examples presented in this book (heat conduction problems, problems of string vibrations, Sturm-Liouvill problems etc.) convince that the method is in many applications more effective alternative than some other methods of continuous approximation as well as Galerkin method. The method is applicable both to heterogenuous and non-linear problems as well

The simplicity of the method enables computer programs for lagre classes of problems of practical importance to be created with any desired accuracy and speed of convergence