Nonlinear differential equations model diverse phenomena but are notoriously difficult to solve. While there has been extensive previous work on efficient quantum algorithms for linear differential ...

Discover a hybrid method for predicting behavior of non-linear partial differential equations. Combine flexibility of differential transform with efficiency of finite differences. Compare efficiency ...

2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the Laplace transform to provide an analytical solution in a power series form for singular, ...

Herein we review in tutorial fashion some of the basic models from which differential equations arise, provide derivations of analytic solutions when possible or provide numerical modeling examples ...

The book begins with an introductory chapter that briefly describes the developments of linear as well as nonlinear partial differential equations. Several nonlinear partial differential equations ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

An iterative procedure is described for solving nonlinear optimal control problems subject to differential algebraic equations. The procedure iterates on an integrated modified linear quadratic model ...

It is shown that the solutions of certain classes of nonlinear ordinary and partial differential equations may be represented in terms of the maximum operation applied to the solutions of associated ...

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