Therefore, a general framework of the NIM is presented for analytical treatment of fractional partial differential equations in fluid mechanics. The fractional derivatives are described in the Caputo sense. Numerical illustrations that include the fractional wave equation, fractional Burgers equation, ...
derived from quaternion applications in several fields, which include quaternion frenet frame in differential geometry, quaternion differential equations in kinematic modeling and attitude dynamics, quaternion differential equations in fluid mechanics and quaternion differential equations in quantum mechanics. ...
Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organised to consolidate, survey and further advance the subject. This volume is an outgrowth of that...
We propose a novel method for nonlinear fractional differential equations. Two important fractional differential equations in fluid mechanics are solved s... S Guo,L Mei,L Ying,... - 《Physics Letters A》 被引量: 195发表: 2012年 Solving Fuzzy Fractional Differential Equations by Fuzzy Laplace ...
1: Incompressible models和Mathematical topics in fluid mechanics, Vol. 2: Compressible models. Thierry Cazenave and Alain Haraux的 An introduction to semilinear evolution equations. J. Y. Chemin的Perfect incompressible fluids. S. Kuksin的Hamiltonian partial differential equations. Eduard Feireisl的Dynamics...
This book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematic...
A New Approach to Solve Differential Equations Arising in Fluid Mechanics The purpose of this study is to demonstrate the potential of Imperialist Competitive Algorithm (ICA) for solving Blasius differential equation. This algorithm is inspired by competition mechanism among Imperialists and colonies and...
According to the existing theories of soil mechanics and fluid mechanics, as well as the features about the water and soil curves of unsaturated expansive soil. It is obtained the equations about gaseous water transfer and liquid water transfer of unsaturated expansive soil. It is be seen from ...
In the first five chapters (Volume I) the equations in electrodynamics, fluid dynamics, magnetohydrodynamics, reacting fluid dynamics, and elastic mechanics are considered, respectively. In each chapter, the corresponding partial differential equations are analyzed from four angles. First, the related ...
Differential equations arise frequently in mathematical and physical theory because the calculus limit so often gives simple relations. In physical theory we may have simple relations for the rates of change with time, distance or temperature of such quantities as energy (thermal conductivity, heat cap...