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An analytical method for finding exact solutions of modified ...


Investigation of exact solutions to the (2+1) - NASA ADS

Four distinct analytical methods, containing the unified method, the modified Kudryashov method, the modified ... find new exact solutions of this equation ...

Travelling wave solutions for fractional Korteweg-de Vries equations ...

This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms.

Exact solutions of modified Zakharov–Kuznetsov equation by the ...

Two new applications of the homogeneous balance method. Phys Lett A 2000;265:353–7. [24] Fan EG. An algebraic method for finding a series of exact solutions to ...

Exact Solutions of the BBM and MBBM Equations by the ...

This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the (G'/G )-expansion ...

Closed Form Exact Solutions to the Higher Dimensional Fractional ...

We then use the modified simple equation (MSE) method to obtain new and further general exact wave solutions. The MSE method is more powerful and can be used in ...

A note on improved F-expansion method combined with Riccati ...

The purpose of this article is to present an analytical method, namely the improved F-expansion method combined with the Riccati equation, for finding exact ...

Recap: Analytical versus Numerical Solutions to ODEs - YouTube

This video recaps the difference between analytical and numerical methods for solving differential equations, including a discussion of the ...

Study of coupled nonlinear partial differential equations for finding ...

... finding exact analytical solutions. Kamruzzaman Khan ... 2013 The modified simple equation method for exact and solitary wave solutions ...

Solitary wave solutions and sensitivity analysis to the space-time β ...

Here, our main goal is to study various soliton solutions of the fractional PC equation by applying an integration method called the modified ...

What is an "exact solution" to a PDE? - MathOverflow

3 Answers 3 · According to your definition, any efficient numerical method to solve the problem at hand (e. g., Monte-Carlo simulation, a finite ...

Exact solutions of some nonlinear partial differential equations using ...

Zerarka et al [19] introduced the functional variable method for constructing exact solutions of the nonlinear wave equations. Zerarka and Ouamane [20] proposed ...

Newton's method - Wikipedia

Contents · 3.1 Difficulty in calculating the derivative of a function · 3.2 Failure of the method to converge to the root · 3.3 Slow convergence for roots of ...

Differential Equations without Analytical Solutions

Pour-El and Richards found an ordinary differential equation ϕ′(t)=F(t,ϕ(t)) with F computable and no computable solution. A reference is Marian ...

7.4.2-ODEs: Worked Example--Analytical Solution - YouTube

These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course ...

Euler method - Wikipedia

In mathematics and computational science, the Euler method is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a ...

Numerical Methods calculators - AtoZmath.com

1. Find a root an equation using · 2. Find roots of non-linear equations using · 6.1 Solve (1st order) numerical differential equation using · 6.2 Solve (2nd order) ...

Modified euler method numerical analysis - YouTube

... looking for the most probable questions from structural Analysis 2 then visit this channel: Structure analysis part 2: https://www.youtube ...

ode45 - MathWorks

tspan — Interval of integration vector · If tspan has two elements [t0 tf] , then the solver returns the solution evaluated at each internal integration step ...

Advanced master theorem for divide and conquer recurrences

It is important to note that the Master Theorem is not applicable to all recurrence relations, and it may not always provide an exact solution ...

Project Manager - USAJOBS - Job Announcement

Knowledge of analytical methods, principles, and techniques required to ... Ability to conduct studies and analysis to arrive at solutions for customer ...