TY  - JOUR
TI  - Solving of Some Random Partial Differential Equations by Using Differential Transformation Method and Laplace- Padé Method
AB  - In this study, the solutions of random partial differential equations are examined. The parameters and the initialconditions of the random component partial differential equations are investigated with Beta distribution. A fewexamples are given to illustrate the efficiency of the solutions obtained with the random Differential TransformationMethod (rDTM). Functions for the expected values and the variances of the approximate analytical solutions of therandom equations are obtained. Random Differential Transformation Method is applied to examine the solutions ofthese partial differential equations and MAPLE software is used for the finding the solutions and drawing the figures.Also the Laplace- Padé Method is used to improve the convergence of the solutions. The results for the randomcomponent partial differential equations with Beta distribution are analysed to investigate effects of this distribution onthe results. Random characteristics of the equations are compared with the results of the deterministic partial differentialequations. The efficiency of the method for the random component partial differential equations is investigated bycomparing the formulas for the expected values and variances with results from the simulations of the randomequations.
AU  - ANAÇ, Halil
AU  - KESEMEN, Tülay
AU  - MERDAN, Mehmet
AU  - Bekiryazıcı, Zafer
DO  - 10.17714/gumusfenbil.404332
PY  - 2019
JO  - Gümüşhane Üniversitesi Fen Bilimleri Dergisi
VL  - 9
IS  - 1
SN  - 2146-538X
SP  - 108
EP  - 118
DB  - TRDizin
UR  - http://search/yayin/detay/311168
ER  -