Abstract
In this article New Iterative Method (NIM) is tested upon time fractional coupled ITO system. The results obtained by the proposed method are compared with that of Homotopy Perturbation Method (HPM). It is shown that the proposed method is accurate for strongly nonlinear fractional coupled system of PDEs.
Highlights
Different techniques in literature have been used in literature for solution of coupled ITO systems
Approximate solutions of ITO systems with time fractional derivatives have been obtained by successful application of (NIM)
In the recent development of fractional order differential equations in some fields of applied mathematics, conceive it necessary to inspect methods of solutions for such types of equations and we anticipate that this work is a step in towards solutions of fractional problems
Summary
K-terms approximate solution of eq (3.1) is of the form v(x) = v0(x) + v1(x) + ... + vk−1(x) Convergence Criteria for (NIM): Theorem 3.1. Sufficient condition for convergence is as follows: Theorem 3.2. We have u(x, t) = r1 − 2μ2 tanh2(μx) + Iα(vx), v(x, t) = r2 + b2 tanh2(μx) + Iβ − 2vxxx − 6(uv)x − 6(wp)x , w(x, t) = r3 + f1 tanh(μx) + Iγ (wxxx + 3uwx), p(x, t) = t0 + t1 tanh(μx) + Iη(pxxx + 3upx) u0(x, t) =r1 − 2μ2 tanh2(μx), v0(x, t) =r2 + b2 tanh2(μx), w0(x, t) =r3 + f1 tanh(μx), p0(x, t) =t0 + t1 tanh(μx), u1(x, t) =Iα (v0(x, t))x.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
