ABSTRACT
This chapter deals with the theory and applications of finite Fourier sine and cosine transforms. The basic operational properties including convolution theorem of these transforms are discussed in some detail. Special attention is given to the use of these transforms to the solutions of boundary value and initial-boundary value problems. The finite Fourier sine transform was first introduced by Doetsch (1935).
Subsequently, the method has been developed and generalized by several authors including Kneitz (1938), Koschmieder (1941), Roettinger (1947), and Brown (1944).
