Scientific Research Publishing

Application of the Hybrid Differential Transform Method to the Nonlinear Equations ()

Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. In ...
IEEE

Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations

Abstract: Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be ...
Scientific Research Publishing

Programming First Integral Method General Formula for the Solving Linear and Nonlinear Equations ()

It’s well known that the solution of equations always uses complicated methods. In this paper the first integral method is used to find the actual solution of equations in a simple way, rather than ...
JSTOR Daily

On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations. II. Third-Order Equations

We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals ...
World Scientific

Nonlinear Partial Differential Equations

This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES). Beginning from the definition of a partial differential equation to the recent developments of ...
IEEE

Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials

Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...