چکیده مقاله
In this paper, a numerical algorithm based on Chebyshev polynomials is presented for recovering the unknown timedependent source term and obtaining a solution of the inverse problem For solving the problem, the operational matrices of integration and derivation are utilized to reduce the mentioned problem into the matrix equations which correspond to a system of linear equations with unknown Chebyshev coefficients Finally, anumerical example will be presented to illustrate the ability and efficiency of theintroduced scheme
کلیدواژهها
Chebyshev polynomials Inverse problem Nonhomogenous parabolic equation time-dependent source term Operational matrix time dependent source term
نویسندگان
Afshin Babaei
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Somayeh Nemati
Department of Mathematics, University of Mazandaran, Babolsar, Iran
شیوه ارجاع
Babaei, Afshin and Nemati, Somayeh,1394,A spectral method for solving an inverse time-dependent source problem,1st National Conference on Soft Computing,Rasht
ارائهشده در
مجموعه مقالات نخستین کنفرانس ملی محاسبات نرم27 آبان 1394 · رشت