Abstract: An algorithm is presented for solving nonlinear ordinary differential equations that generates a broad class of implicit linear differentiation formulas. Specific interest is concerned in ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

1 School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China 2 Department of Biomedical Engineering, Pratt School of Engineering, Duke University, Durham, NC, United States The ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

SIAM Journal on Applied Mathematics, Vol. 31, No. 3 (Nov., 1976), pp. 461-467 (7 pages) This paper is a study of the oscillatory and asymptotic behavior of solutions of the second order, ...

CBSE 12th Maths Differential Equations Formulas: Check here for all the important formulas of mathematics in Chapter 9 Differential Equations of Class 12, along with major definitions, properties and ...

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

The bidomain equations have been widely used to model the electrical activity of cardiac tissue. While it is well-known that implicit methods have much better stability than explicit methods, implicit ...