Results 81 to 90 of about 1,700 (198)

Dynamic sensitivity analysis of biological systems

BMC Bioinformatics, 2008
Background A mathematical model to understand, predict, control, or even design a real biological system is a central theme in systems biology. A dynamic biological system is always modeled as a nonlinear ordinary differential equation (ODE) system.
Chang Maw, Wang Feng, Wu Wu
doaj   +1 more source

A note on the local behavior of the Taylor method for stiff ODEs

Applied Mathematics and Computation
In this note we study the behavior of the coefficients of the Taylor method when computing the numerical solution of stiff Ordinary Differential Equations. First, we derive an asymptotic formula for the growth of the stability region w.r.t. the order of the Taylor method. Then, we analyze the behavior of the Taylor coefficients of the solution when the
Philip P. Forrier, Joan Gimeno, Àngel Jorba   +2 more
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Improved traditional Rosenbrock–Wanner methods for stiff ODEs and DAEs

Journal of Computational and Applied Mathematics, 2015
Rosenbrock-Wanner Verfahren haben üblicherweise Ordnungsreduktion, wenn sie auf steife Differentialgleichungen oder DAEs angewendet werden. Deshalb sind in zahlreichen Publikationen weitere Ordnungsbedingungen hergeleitet worden, um diesen Effekt zu reduzieren.
openaire   +3 more sources

Variable step variable order block backward differentiation formulae for solving stiff ordinary differential equations [PDF]

, 2013
Block Backward Differentiation Formulae (BBDF) method with variable step variable order approach (VSVO) for solving stiff Ordinary Differential Equations (ODEs) is described in this thesis.
Mohd Yatim, Siti Ainor
core  

SDIRK4: Octave function to solve stiff system of first order ODEs [PDF]

A dynamically loadable function to solve a stiff system of first order ODEs by a 4th order Runge-Kutta method, originally programmed by Hairer and Wanner.
Marc Compere
core  

A new formulae of variable step 3-point block BDF method for solving stiff ODEs [PDF]

, 2014
This paper derives a new variable step 3-point block method based on Backward Differentiation Formula (BDF) for solving stiff Ordinary Differential Equations (ODEs).
Musa, Hamisu, Ismail, Fudziah, Abasi, Naghmeh, Ibrahim, Zarina Bibi, Abbasi, Neda, Suleiman, Mohamed   +5 more
core  

A Sixth-Order Vieta–Lucas Polynomial-Based Block Method with Optimal Stability for Solving Practical First-Order ODE Models

AppliedMath
This paper addresses the numerical integration of first-order ordinary differential equations by developing a continuous linear multistep block method. The method is constructed through the approximation of the exact solution using a linear combination ...
Olugbade Ezekiel Faniyi, Mark Ifeanyi Modebei, Matthew Olanrewaju Oluwayemi, Ikechukwu Jackson Otaide   +3 more
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Fifth-Order Block Hybrid Approach for Solving First-Order Stiff Ordinary Differential Equations

AppliedMath
This study introduces a novel single-step hybrid block method with three intra-step points that attains fifth-order accuracy, offering an accurate and computationally economical tool for solving first-order differential equations.
Ibrahim Mohammed Dibal, Yeak Su Hoe
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A new fifth order implicit block method for solving first order stiff ordinary differential equations [PDF]

, 2014
A new implicit block backward differentiation formula that computes 3–points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs).
Musa, Hamisu, Senu, Norazak, Ismail, Fudziah, Ibrahim, Zarina Bibi, Abdul Majid, Zanariah, Suleiman, Mohamed   +5 more
core  

Phy-ChemNODE: an end-to-end physics-constrained autoencoder-NeuralODE framework for learning stiff chemical kinetics of hydrocarbon fuels

Frontiers in Thermal Engineering
Predictive computational fluid dynamics (CFD) simulations of reacting flows in energy conversion systems are accompanied by a major computational bottleneck of solving a stiff system of coupled ordinary differential equations (ODEs) associated with ...
Tadbhagya Kumar, Anuj Kumar, Anuj Kumar, Pinaki Pal   +3 more
doaj   +1 more source