Results 41 to 50 of about 1,223,896 (216)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

SOLVING THE FRACTIONAL DIFFERENTIAL RICCATI EQUATION ARISING FROM THE HESTON MODEL WITH NEURAL NETWORKS AND POWER SERIES EXPANSION

, 2022
reservedIn my work I explore the fractional differential Riccati equation, which is a particular equation that arises in many different mathematical problems. In particular, It arises in the financial stochastic model of Heston, more precisely, the rough
HU, NICOLA
core  

An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru, Sakamoto, N., Sakamoto, Noboru,, van der Schaft, Arjan, Schaft, Arjan J. van der, Noboru Sakamoto, Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, van der Schaft, AJ; id_orcid, Arjan J. van der Schaft, van der Schaft, AJ   +10 more
core   +4 more sources

Applications of the New Compound Riccati Equations Rational Expansion Method and Fan's Subequation Method for the Davey-Stewartson Equations

Boundary Value Problems, 2010
We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations.
Hassan Zedan
doaj   +1 more source

Riccati equation and the problem of decoherence II: Symmetry and the solution of the Riccati equation [PDF]

Journal of Mathematical Physics, 2011
In this paper we revisit the problem of decoherence by applying the block operator matrices analysis. The Riccati algebraic equation associated with the Hamiltonian describing the process of decoherence is studied. We prove that if the environment responsible for decoherence is invariant with respect to the antilinear transformation then the antilinear
openaire   +2 more sources

Leighton–Wintner‐Type Oscillation Criteria for the p(t)$$ p(t) $$‐Laplacian Dynamic Equations on Time Scales

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto, Kazuki Ishibashi, Masakazu Onitsuka   +2 more
wiley   +1 more source

The Two Modified G′G-Expansion Methods for Obtaining Solitons of the Korteweg-De Vries Equation

Advances in Mathematical Physics
The Korteweg-de Vries (KdV) equation plays an important role in describing the propagation of water waves in shallow channels. Several analytical methods, such as tanh-function methods (TFMs), exponential function method, and Jacobi elliptic function ...
Emmanuel Mensah, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Existance theroms for the matrix Riccati equation W′+WP(t)W+Q(t)=0

International Journal of Mathematics and Mathematical Sciences, 1978
Sufficient conditions are established for the matrix Riccati equation to have a symmetric solution on a given interval. The criteria involve integral conditions on the coefficient matrices of the Riccati equation.
Robert A. Jones
doaj   +1 more source

Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
wiley   +1 more source