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Numerical solution for (2 + 1)‐dimensional time‐fractional coupled Burger equations using fractional natural decomposition method
Author(s) -
Prakasha Doddabhadrappla G.,
Veeresha Pundikala,
Rawashdeh Mahmoud S.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5533
Subject(s) - mathematics , decomposition method (queueing theory) , fractional calculus , reliability (semiconductor) , numerical analysis , work (physics) , decomposition , burgers' equation , partial differential equation , mathematical analysis , mechanical engineering , power (physics) , physics , discrete mathematics , quantum mechanics , engineering , ecology , biology
The aim of the present work is to find the numerical solutions for time‐fractional coupled Burgers equations using a new novel technique, called fractional natural decomposition method (FNDM). Two examples are considered in order to illustrate and validate the efficiency of the proposed algorithm. The numerical simulation has been conducted to ensure the exactness of the present method, and the obtained solutions are offered graphically to reveal the applicability and reliability of the FNDM. The outcomes of the study reveal that the FNDM is computationally very effective and accurate to study the (2 + 1)‐dimensional coupled Burger equations of arbitrary order.