A New Implicit-Explicit Local Method to Capture Stiff Behavior with COVID-19 Outbreak Application

arXiv (Cornell University)

Abstract

In this paper, a new implicit-explicit local method with an arbitrary order is produced for stiff initial value problems. Here, a general method for one-step time integrations has been created, considering a direction free approach for integrations leading to a numerical method with parameter-based stability preservation. Adaptive procedures depending on the problem types for the current method are explained with the help of local error estimates to minimize the computational cost. Priority error analysis of the current method is made, and order conditions are presented in terms of direction parameters. Stability analysis of the method is performed for both scalar equations and systems of differential equations. The currently produced parameter-based method has been proven to provide A-stability, for 0.5

Keywords

Parameterized complexity Stability (learning theory) Backward differentiation formula Scalar (mathematics) Nonlinear system Stiff equation Applied mathematics Numerical analysis Explicit and implicit methods Initial value problem Differential equation Mathematics Current (fluid) Computer science Algorithm Mathematical analysis Ordinary differential equation Differential algebraic equation Physics Geometry

Subject Areas

Numerical methods for differential equations ·Numerical Analysis ·Physical Sciences

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences

Computational Fluid Dynamics and Aerodynamics ·Computational Mechanics ·Physical Sciences

Citations by Year

OpenAlex SDG Match

SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).

Good health and well-being 79%

A New Implicit-Explicit Local Method to Capture Stiff Behavior with COVID-19 Outbreak Application

Abstract

Keywords

Subject Areas

Citations by Year

OpenAlex SDG Match

References (29)

Cited by (2)

Related Articles

Discrete thermal analysis of the E–type shell–and–tube heat exchanger

Ultra-trace Determination of Chromium (III) and Cobalt (II) Using Phosphonate Ester-Functionalized PAMAM Magnetite and DSPE-FAAS

A strategic discovery roadmap towards high-quality leads and drug development candidates for kinetoplastid diseases. Part 2: from molecule to confirmed hit

Reliability assessment of markerless technologies in biomechanical motion analysis: a performance comparison