Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation

DOI10.1137/140980247zbMath1317.65254OpenAlexW927674661MaRDI QIDQ5499970

Jitendra Kumar, Jitraj Saha, Evangelos Tsotsas

Publication date: 5 August 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140980247

zbMATH Keywords

convergence analysisfinite volume schemenonuniform meshespopulation balance equationbreakage

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (12)

On the approximate solutions of fragmentation equations ⋮ Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis ⋮ Moments preserving finite volume approximations for the non-linear collisional fragmentation model ⋮ Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation ⋮ Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation ⋮ Rate of convergence and stability analysis of a modified fixed pivot technique for a fragmentation equation ⋮ Population balance equation for collisional breakage: a new numerical solution scheme and its convergence ⋮ A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model ⋮ Development of a mass conserving discretization technique for breakage problems and its convergence analysis ⋮ New volume consistent approximation for binary breakage Population Balance Equation and its convergence analysis ⋮ Finite volume approach for fragmentation equation and its mathematical analysis ⋮ On the Approximate Solution and Modeling of the Kernel of Nonlinear Breakage Population Balance Equation

Cites Work

• Convergence analysis of sectional methods for solving breakage population balance equations. II: The cell average technique
• 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
• On a class of continuous coagulation-fragmentation equations
• Adomian decomposition method for solving fragmentation and aggregation population balance equations
• The singular coagulation equation with multiple fragmentation
• Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations
• Exact solutions for the coagulation-fragmentation equation
• A Semigroup Approach to Fragmentation Models
• An Existence and Uniqueness Result for a Coagulation and Multiple-Fragmentation Equation
• Numerical Simulation of the Smoluchowski Coagulation Equation
• Existence and uniqueness results for the continuous coagulation and fragmentation equation
• Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation
• A Finite Volume Preserving Scheme on Nonuniform Meshes and for Multidimensional Coalescence
• Convergence of a finite volume scheme for coagulation-fragmentation equations
• Unnamed Item

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