Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations
DOI10.1007/s00033-024-02264-1zbMath1547.35676MaRDI QIDQ6584942
Publication date: 8 August 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of polymers (82D60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Nonlinear evolution equations (47J35) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
- Instantaneous gelation in coagulation dynamics
- Gelation in coagulation and fragmentation models
- On the mass conserving solutions to the singular kernel coagulation with multi-fragmentation
- Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation
- On the global solutions of discrete Safronov-Dubovskiǐ aggregation equation
- The singular coagulation equation with multiple fragmentation
- Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations
- The discrete Safronov-Dubovskiĭ aggregation equation: instantaneous gelation and nonexistence theorem
- Moments preserving finite volume approximations for the non-linear collisional fragmentation model
- Population balance equation for collisional breakage: a new numerical solution scheme and its convergence
- A study of the nonlinear breakage equation: analytical and asymptotic solutions
- An existence‐uniqueness result for the pure binary collisional breakage equation
- Numerical Simulation of the Smoluchowski Coagulation Equation
- A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels
- Convergence analysis of finite volume scheme for nonlinear aggregation population balance equation
- Convergence of a finite volume scheme for coagulation-fragmentation equations
- Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation
- On the Approximate Solution and Modeling of the Kernel of Nonlinear Breakage Population Balance Equation
- Rate of convergence of two moments consistent finite volume scheme for non-classical divergence coagulation equation
- Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation
- Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models
This page was built for publication: Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations
