چکیده مقاله
To illustrate the basic idea of the improved EFM, we take the following nonlinear fractional partial di erential equation in the form: N u; ux; uy; uxx; uyy; :::;D tu;D x u;D xxu; ::: = 0; 0 < 1: 1 Using a transformation u x; y; t = u ; = kx my nt 1 ; 2 where k;m and n are constants to be determined later, we can rewrite equation Eq 1 in the following nonlinear ODE M u; ku0;mu0; k2u00;m2u00; :::; nu0; ::: = 0; 3 where the prime denotes derivative with respect to If possible, integrate Eq 3 term by term one or more times
نویسندگان
Mehdi Fazli Aghdaei
Payame Noor University, Department of Mathematics
Jalil Mana an
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
شیوه ارجاع
Fazli Aghdaei, Mehdi and Mana an, Jalil,1401,Application of a new method for nonlinear partial di erential equations of fractional order arising in uid mechanics,10th National Conference on Mathematics, Payame Noor University,Shiraz
ارائهشده در
مجموعه مقالات دهمین همایش ملی ریاضی دانشگاه پیام نور28 اردیبهشت 1401 · شیراز