On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

Algorithm 2

Algorithm to compute the solution of problem (13)–(15) when conditions (7)–(9) holds.

(1)  Check that vector valued function satisfies conditions (53), (58) and (8)  replacing by

         . If these conditions are not satisfied algorithm stop because we can not obtain the solution of

         problem (13)–(15) with the given data.

(2) Determine coefficients , defined by (24).

(3) Determine coefficients , defined by (28), where , are defined by (31).

(4) Determine defined by (35), solution of problem (36).

(5) The solution of problem (13)–(15) is given by .