Results 51 to 60 of about 6,899 (148)

Solvable Systems of Linear Differential Equations

, 2009
The asymptotic iteration method (AIM) is an iterative technique used to find exact and approximate solutions to second-order linear differential equations.
A. Durmus, A.D. Polyanin, B. Champion, B.I. Jurilin, C.X. Chuan, C.X. Chuan, D.R. Haaheim, E. Kamke, E.D. Rainville, H. Ciftci, H. Ciftci, H. Ciftci, I. Boztosun, Katherine M. Robertson, L.J. Slater, N. Saad, N. Saad, Nasser Saad, W.-C. Qiang   +18 more
core   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

Supersymmetric free-damped oscillators: Adaptive observer estimation of the Riccati parameter

, 2006
A supersymmetric class of free damped oscillators with three parameters has been obtained in 1998 by Rosu and Reyes through the factorization of the Newton equation. The supplementary parameter is the integration constant of the general Riccati solution.
H. C. Rosu, H. C. Rosu, H. C. Rosu, J. P. Gauthier, O. Cornejo-Pérez, R. Marino, R. Marino, V. Ibarra-Junquera   +7 more
core   +1 more source

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
wiley   +1 more source

Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time

International Journal of Robust and Nonlinear Control, Volume 36, Issue 3, Page 935-954, February 2026.
ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel, Johannes Köhler, Matthias A. Müller, Carsten W. Scherer, Frank Allgöwer   +4 more
wiley   +1 more source

Joint Unbiased and Minimum‐Variance Based Input and State Estimation for Linear Constrained Systems

IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.
Using unbiased estimations, a recursive filter where the interconnected unknown inputs, constraints and states are decoupled is developed based on the least squares and minimum variance estimations. ABSTRACT Unbiased estimation problem for constrained linear systems is considered, where the systems are subject to unknown inputs that exist in both the ...
Yanting Yang, Yuemei Qin
wiley   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

Research on the Optimisation of Natural Gas Layered Scheduling for Offshore Platforms Based on Improved GA and MPC

Digital Twins and Applications, Volume 3, Issue 1, January/December 2026.
This study presents a hierarchical optimisation strategy combining an improved genetic algorithm with model predictive control, validated through a digital twin framework. The method improves convergence accuracy, computational efficiency and response speed, while demonstrating robustness across complex multiscenario conditions.
Xiaoguang Zhang, Xiaoyong He, Yutong Zhong, Xiaoyong Gao, Wenxin Zhan   +4 more
wiley   +1 more source

Deriving conservation laws for ABS lattice equations from Lax pairs

, 2012
In the paper we derive infinitely many conservation laws for the ABS lattice equations from their Lax pairs. These conservation laws can algebraically be expressed by means of some known polynomials.
Cheng, Jun-wei, Sun, Ying-ying, Zhang, Da-jun   +2 more
core   +1 more source

An Improved Rapidly‐Exploring Approach to Off‐Road Path Planning by Leveraging Dynamic Velocity Constraints and Trajectory Smoothing

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
ABSTRACT Off‐road path planning and navigation often struggle with complex challenges, such as diverse surface conditions that demand adaptability, stability‐sensitive vehicle dynamics on low‐adhesion terrain, and the persistent trade‐off between real‐time performance and path quality.
Jiang Song, Shucai Xu, Chun Feng, Liqun Peng   +3 more
wiley   +1 more source