Numerical investigations for time-fractional nonlinear model arise in physics

摘要

In this work, we suggest a numerical scheme to find analytically a solution of Caputo-time-fractional nonlinear model arise in physics. This model is called Belousov-Zhabotinsky (BZ) and reads asDtαu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dtαv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where0<α?1,0