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

Algorithm 1

Solution of problem (13)–(15).

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(1) Consider the associated problem (34) and check the following options:

    Case  1. Conditions (7)–(9) holds. Continue using Algorithm 1 of [15] to obtain a solution

       of problem (34). Once obtained, continue with Algorithm 2.

    Case  2. Conditions (10)–(12) holds. Continue using Algorithm 1 of [16] to obtain a solution

       of problem (34). Once obtained, continue with Algorithm 3.

    Case  3. If these conditions are not satisfied, algorithm stop because we can not obtain the solution

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