In this paper a numerical approach combining the least squares method and a genetic algorithm is proposed for the determination of the source term in an inverse parabolic system (IPS). A numerical experiment confirm the utility of this algorithm as the results are in good agreement with the exact data. Results show that a reasonable estimation can be obtained by the genetic algorithm within a CPU with clock speed 2.7 GHz.
Pourgholi, Reza; Esfahani, Amin; and Mazraeh, Hassan D.
Inverse Problem for a Parabolic System,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
1, Article 34.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss1/34