Incorporating Computer Algebra System in Differential Equations Syllabus
نویسندگان
چکیده
منابع مشابه
Computer Algebra and Differential Equations — An Overview
Differential equations represent one of the largest fields within mathematics. Besides being an interesting subject of their own right one can hardly overestimate their importance for applications. They appear in natural and engineering sciences and increasingly often in economics and social sciences. Whenever a continuous process is modeled mathematically, chances are high that differential eq...
متن کاملLie Symmetries of Differential Equations by Computer Algebra
Secondly combining group theory and singularity analysis we obtained some information about the similarity solutions of the fourth order generalized Boussinesq equation GBE4. It has been shown that this equation possess a three dimensional Lie algebra of the point symmetries and the similarity reductions due to these symmetries have been obtained.
متن کاملComputer algebra derives normal forms of stochastic differential equations
Modelling stochastic systems has many important applications. Normal form coordinate transforms are a powerful way to untangle interesting long term dynamics from undesirably detailed microscale dynamics. I aim to explore normal forms of stochastic differential equations when the dynamics has both slow modes and quickly decaying modes. The thrust is to derive normal forms useful for macroscopic...
متن کاملSolving Some Delay Differential Equations with Computer Algebra
We explore the use of a computer algebra system to solve some very simple linear delay differential equations (DDEs). Though simple, some of these DDEs are useful of themselves, and may also be of use as test problems for more general methods. The solutions methods included in this paper are of interest because they are widely used in studies involving the solution of DDEs and can be easily aut...
متن کاملComputer Algebra Algorithms for Linear Ordinary Differential and Difference equations
Galois theory has now produced algorithms for solving linear ordinary differential and difference equations in closed form. In addition, recent algorithmic advances have made those algorithms effective and implementable in computer algebra systems. After introducing the relevant parts of the theory, we describe the latest algorithms for solving such equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Engineering and Applied Sciences
سال: 2019
ISSN: 1816-949X
DOI: 10.36478/jeasci.2019.7475.7480