Analytical and numerical solutions for the nonlinear Burgers and advection–diffusion equations by using a semi-analytical iterative method
(19)
Publication Date
Sat Dec 01 2018
Journal Name
Ain Shams Engineering Journal
(6)
Publication Date
Thu Jun 01 2017
Journal Name
Chaos, Solitons & Fractals
(16)
Publication Date
Sat Oct 01 2016
Journal Name
International Journal Of Pure And Apllied Mathematics
(10)
Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Numerical and Analytical Solutions of Space-Time Fractional Partial Differential Equations by Using a New Double Integral Transform Method
Fractional Calculus
Caputo derivative
Fractional Partial
Differential Equations
Double Sumudu-Elzaki transform
This work discusses the beginning of fractional calculus and how the Sumudu and Elzaki transforms are applied to fractional derivatives. This approach combines a double Sumudu-Elzaki transform strategy to discover analytic solutions to space-time fractional partial differential equations in Mittag-Leffler functions subject to initial and boundary conditions. Where this method gets closer and closer to the correct answer, and the technique's efficacy is demonstrated using numerical examples performed with Matlab R2015a.
(3)
Publication Date
Sun Oct 01 2017
Journal Name
Journal Of The Association Of Arab Universities For Basic And Applied Sciences
(6)
Publication Date
Sun Jun 23 2019
Journal Name
Journal Of The College Of Basic Education
(1)
Publication Date
Fri Jun 23 2023
Journal Name
Journal The College Of Basic Education / Al-mustansiriyah University
Numerical Solution of Non-linear Delay Differential Equations Using Semi Analytic Iterative Method
Semi analytic iterative method
Ordinary delay differential equations
Initial conditions
We present a reliable algorithm for solving, homogeneous or inhomogeneous, nonlinear ordinary delay differential equations with initial conditions. The form of the solution is calculated as a series with easily computable components. Four examples are considered for the numerical illustrations of this method. The results reveal that the semi analytic iterative method (SAIM) is very effective, simple and very close to the exact solution demonstrate reliability and efficiency of this method for such problems.
(1)
Publication Date
Sat Jul 01 2017
Journal Name
Journal Of King Saud University - Science
(16)
Publication Date
Sun Dec 07 2014
Journal Name
Baghdad Science Journal
New Iterative Method for Solving Nonlinear Equations
Nonlinear equation
convergence
three step method
The aim of this paper is to propose an efficient three steps iterative method for finding the zeros of the nonlinear equation f(x)=0 . Starting with a suitably chosen , the method generates a sequence of iterates converging to the root. The convergence analysis is proved to establish its five order of convergence. Several examples are given to illustrate the efficiency of the proposed new method and its comparison with other methods.
Publication Date
Sun Jan 25 2015
Journal Name
International Journal Of Applied Mathematical Research
(3)