Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 13, No 4, (2010), 435p-446p
In this paper are found explicit solutions of four nonlocal boundary value
problems for Laplace, heat and wave equations, with Bitsadze-Samarskii
constraints based on non-classical one-dimensional convolutions. In fact,
each explicit solution may be considered as a way for effective summation
of a solution in the form of nonharmonic Fourier sine-expansion. Each
explicit solution, may be used for numerical calculation of the solutions too.