An Efficient Technique in Finding the Exact Solutions for Cauchy Problems

سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 240

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شناسه ملی سند علمی:

JR_MBT-1-3_005

تاریخ نمایه سازی: 10 خرداد 1399

چکیده مقاله:

In this paper, the Reconstruction of Variational Iteration Method (RVIM) is used to solve the Cauchy problem. The new applied algorithm is a powerful and efficient technique in finding solutions for the linear and nonlinear equations using only few terms. The Reconstruction of Variational Iteration Method(RVIM) technique is independent of any small parameters at all. Besides, it provides us with a simple way to ensure the convergence of solution series, so that we can always get accurate enough approximations. Some examples are given to elucidate the solution procedure and reliability of the obtained results.

کلیدواژه ها:

Reconstruction of Variational Iteration Method ، Cauchy Problem ، Inviscid Burgers Equation ، Transport Equation

نویسندگان

M. Mighani

Department of Architectural Engineering, Shomal University, Amol, Iran

S. Saeedi

Department of Architectural Engineering, Shahid Beheshti University, Tehran, Iran