Higher Order Numerical Approaches for Nonlinear Equations by Decomposition Technique

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Solving systems of nonlinear equations using decomposition technique

A systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singul...

متن کامل

Some numerical methods for solving nonlinear equations by using decomposition technique

Keywords: Decomposition technique Iterative method Convergence Newton method Auxiliary function Coupled system of equations a b s t r a c t In this paper, we use the system of coupled equations involving an auxiliary function together with decomposition technique to suggest and analyze some new classes of iterative methods for solving nonlinear equations. These new methods include the Halley me...

متن کامل

Exact and Numerical Solutions for Nonlinear Higher Order Modified KdV Equations by Using Variational Iteration Method

This paper investigates the implementation of Variational Iteration Method (VIM) to practical and higher order nonlinear equations in kind of Korteweg-de-Vries (KdV) equation. The obtained solutions from thirdand fourth-order modified KdV are compared with the exact and Homotopy Perturbation Method (HPM) solutions. Results illustrate the efficiency and capability of VIM to solve high order nonl...

متن کامل

A novel technique to solve nonlinear higher-index Hessenberg differential–algebraic equations by Adomian decomposition method

Since 1980, the Adomian decomposition method (ADM) has been extensively used as a simple powerful tool that applies directly to solve different kinds of nonlinear equations including functional, differential, integro-differential and algebraic equations. However, for differential-algebraic equations (DAEs) the ADM is applied only in four earlier works. There, the DAEs are first pre-processed by...

متن کامل

The Cauchy Problem for Nonlinear Hyperbolic Equations of Higher order using Modified Decomposition Method

In this paper modified decomposition method is applied to the solvability of nonlinear hyperbolic equations of higher order with initial conditions and illustrated with a few simple examples. The results obtained indicate that Modified Decomposition Method is very effective and simple.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: IEEE Access

سال: 2019

ISSN: 2169-3536

DOI: 10.1109/access.2019.2906470