In this paper we propose a structure-preserving doubling algorithm (SDA) for computing the minimal nonnegative solutions to the nonsymmetric algebraic Riccati equation (NARE) based on the techniques developed in the symmetric cases. This method allows the simultaneous approximation of the minimal nonnegative solutions of the NARE and its dual equation, only requires the solutions of two linear ...

in this paper, the convergence of zakharov-kuznetsov (zk) equation by homo- topy analysis method (ham) is investigated. a theorem is proved to guarantee the conver- gence of ham and to nd the series solution of this equation via a reliable algorithm.

Three simple, rapid, accurate, precise and cost-effective UV spectrophotometric methods have been developed and validated for simultaneous estimation of Escitalopram oxalate and Etizolam in tablet dosage form. The UV methods have been developed utilizing concept of standard addition utilizing 0.1 N HCl as a solvent. Method I is estimation using simultaneous equation method at 238.2 nm (λmax of ...

in this present work, the kudryashov method and the functional variable method are used to construct exact solutions of the complex kdv equation. the kudryashov method and the functional variable method are powerful methods for obtaining exact solutions of nonlinear evolution equations.

Conventional work on scienti c discovery such as BACON derives empirical law equations from experimental data. In recent years, SDS introducing mathematical admissibility constraints has been proposed to discover rst principle based law equations, and it has been further extended to discover law equations from passively observed data. Furthermore, SSF has been proposed to discover the structure...

Two applications of a method of steepest descent (on the absolute magnitude of the system-equationsatisfaction error) are reported. In the first, simultaneous automatic analog determination of four coeffcients in a human response equation (transfer function) was accomp1ished. The second app1ication of the technique was in an analog dete~nat10n of aerodynamic coefficients from simulated flight t...