Mixed Transform Iterative Method for Solving Wave Like Equations

نویسندگان

چکیده

In this article, a hybrid method that combines Aboodh transform, variational iteration method, and the homotopyperturbation is presented for approximate solution of important partial differential equations describe wave like in one, two three dimensions. The suggested utilizes only initial conditions to providean analytical solution, contrast separation variables, also requires boundary conditions. This makes use Aboodh's transform advantageous on Lagrange multiplier computation, hence there no need convolution theorem or any integration recurrence relation process finding it. obtained exact solutions are found as convergent series with components simple compute. addition, needsno assumptions change problem's physical nature, such those involve discretization, linearization, minor factors compared certain other techniques. Some examples given show how efficient useful is.

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

Exact solutions for wave-like equations by differential transform method

Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...

متن کامل

exact solutions for wave-like equations by differential transform method

differential transform method has been applied to solve many functional equations so far. in this article, we have used this method to solve wave-like equations. differential transform method is capable of reducing the size of computational work. exact solutions can also be achieved by the known forms of the series solutions. some examples are prepared to show theefficiency and simplicity of th...

متن کامل

A New Iterative Method For Solving Fuzzy Integral ‎Equations

In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are ‎valid.‎

متن کامل

reduced differential transform method for solving linear and nonlinear wave equations

reduced differential transform method (rdtm) is applied to various wave equations. to assessthe accuracy of the solutions, we compare the results with the exact solutions and variational iteration method.the results reveal that the rdtm is very effective, convenient and quite accurate to systems of nonlinearequations.

متن کامل

A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index

In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method i...

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: Al-Nahrain journal of science

سال: 2023

ISSN: ['2663-5453', '2663-5461']

DOI: https://doi.org/10.22401/anjs.26.2.07