Population balance equation for collisional breakage: a new numerical solution scheme and its convergence

DOI10.1016/j.cnsns.2023.107244OpenAlexW4327921917MaRDI QIDQ2698413

Andreas Bück, Prakrati Kushwah, Arijit Das, Jitraj Saha

Publication date: 21 April 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107244

zbMATH Keywords

consistencyerror analysisLipschitz stabilitycollisional breakagesectional methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Discrete approximations in optimal control (49M25) Dynamical systems in numerical analysis (37N30)

Related Items (1)

Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation

Cites Work

• Unnamed Item
• Convergence analysis of sectional methods for solving breakage population balance equations. I. The fixed pivot technique
• Convergence of a discretization method for integro-differential equations
• Numerical solutions for multidimensional fragmentation problems using finite volume methods
• Finite volume approach for fragmentation equation and its mathematical analysis
• Convergence analysis of volume preserving scheme for mass based coalescence equation
• Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation
• Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation
• Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis
• The nonlinear fragmentation equation
• A study of the nonlinear breakage equation: analytical and asymptotic solutions
• An existence‐uniqueness result for the pure binary collisional breakage equation
• Convergence of a finite volume scheme for coagulation-fragmentation equations
• Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation
• The discrete coagulation equations with collisional breakage.

This page was built for publication: Population balance equation for collisional breakage: a new numerical solution scheme and its convergence