7 papers
Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel
Sanjiv Kumar Bariwal, Rajesh Kumar
The phenomenon of collisional breakage in particulate processes has garnered significant interest due to its wide-ranging applications in fields such as milling, astrophysics, and…
Finite volume convergence analysis and error estimation for non-linear collisional induced breakage equation
Sanjiv Kumar Bariwal, Rajesh Kumar
This article focuses on the finite volume method (FVM) as an instrument tool to deal with the non-linear collisional-induced breakage equation (CBE) that arises in the particulate…
Non-linear collision-induced breakage equation: approximate solution and error estimation
Sanjiv Kumar Bariwal, Rajesh Kumar
This article aims to provide approximate solutions for the non-linear collision-induced breakage equation using two different semi-analytical schemes, i.e., variational iteration m…
Non-linear collision-induced breakage equation: finite volume and semi-analytical methods
Sanjiv Kumar Bariwal, Saddam Hussain, Rajesh Kumar
The non-linear collision-induced breakage equation has significant applications in particulate processes. Two semi-analytical techniques, namely homotopy analysis method (HAM) and…
Semi-analytical Solutions for Breakage and Aggregation-breakage Equations via Daftardar-Jafari Method
Sanjiv Kumar Bariwal, Gourav Arora, Rajesh Kumar
The semi-analytical method obtains the solution for linear/nonlinear ODEs and PDEs in series form. This article presents a novel semi-analytical approach named Daftardar-Jafari met…
Convergence and error analysis for pure collisional breakage equation
Sanjiv Kumar Bariwal, Ankik Kumar Giri, Rajesh Kumar
Collisional breakage in the particulate process has a lot of recent curiosity. We study the pure collisional breakage equation which is nonlinear in nature accompanied by locally b…
Numerical analysis for coagulation-fragmentation equations with singular rates
Sanjiv Kumar Bariwal, Prasanta Kumar Barik, Ankik Kumar Giri +1
This article deals with the convergence of finite volume scheme (FVS) for solving coagulation and multiple fragmentation equations having locally bounded coagulation kernel but sin…