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

Abbasi, N.M. (2009) Solving the Van Der Pol Nonlinear Differential Equation Using First Order Approximation Perturbation Method.

A tersely annotated collection of references on types of approaches used in currently available methods to solve the general linear, first-order ordinary differential equation is presented, and ...

SUNDIALS: SUite of Nonlinear and DIfferential/ALgebraic equation Solvers Version 7.3.0 (Apr 2025) Center for Applied Scientific Computing, Lawrence Livermore National Laboratory SUNDIALS is a family ...

Book 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 ...

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically ...