Scientific Research Publishing

Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method ()

College of Civil Engineering and Mechanics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China. Many phenomena in engineering physics, ...
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

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 ...
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 ...
PNAS

Efficient quantum algorithm for dissipative nonlinear differential equations

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...
IEEE

9 Numerical Solution of Fractional-order One-dimensional Differential Equations by using a Laplace Transform with the Residual Power Series Method

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 ...