Computational New Method “AGM” to Analytical Solving of Waves Complicate Nonlinear Differential at all Engineering Field

  • سال انتشار: 1402
  • محل انتشار: هفتمین کنفرانس بین المللی فیزیک، ریاضی و توسعه علوم پایه
  • کد COI اختصاصی: FMCBC07_029
  • زبان مقاله: انگلیسی
  • تعداد مشاهده: 93
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نویسندگان

Elhamsadat Banitabaei Koupaei

Department of pure mathematics, University of Isfahan, Isfahan, Iran.

Mohammadreza Akbari

Department of chemical engineering and civil engineering, Germany.

Sara Akbari

Department of Chemical Engineering, Islamic Azad University, Ghaemshahr, Iran

Esmaeil Kalantari

Department of Chemical Engineering, Islamic Azad University, Ghaemshahr, Iran.

چکیده

As we know most of engineering system behavior in practical are nonlinear process (especially Heat, Fluid and Mass, etc.) and analytical solving (no numeric) these problems are difficult , complex and sometimes impossible like (Fluids and Gas wave, these problems can't solve with numeric method, because of no have boundary condition) accordingly in this symposium we are going to exposure a innovative approach which we have named it Akbari-Ganji's Method or AGM in engineering, that can solve sets of coupled nonlinear differential equations (ODE, PDE) with high accuracy and simple solution and so this issue will be emerged after comparing the achieved solutions by Numerical method (Runge-Kutte ۴th) and so compare to other methods such as HPM, ADM,… and exact solutions. Eventually, AGM method will be proved that could be created huge evolution for researchers, professors and students (engineering and basic science) in whole over the world, because of AGM coding system, so by using this software we can analytical solve all complicate linear and nonlinear differential equations ,with help of that there is no difficulty for solving nonlinear differential equations(ODE and PDE). In this symposium we investigate and solve ۴ types of nonlinear differential equation with AGM method, ۱. Heat and Fluid, ۲.Unsteady State of Nonlinear Partial Differential, ۳.Coupled Nonlinear Partial Differential in Wave Equation, ۴.Nonlinear Integro-Differential Equation

کلیدواژه ها

New Method; Akbari-Ganji's Method (AGM), Waves Equations, Quasilinear parabolic equation, nonlinear differential of imaginary.

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