Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations
The exploration of collisional fragmentation pheno-mena remains largely unexplored, yet it
holds considerable importance in numerous engineering and physical processes. Given the …
holds considerable importance in numerous engineering and physical processes. Given the …
[HTML][HTML] An opportunity for streamlined computational fluid dynamics integration via a semi-analytical method for weighted finite volume fragmentation equations
Over the past decade, finite volume schemes have significantly advanced, becoming well-
regarded for solving linear and nonlinear population balance equations (PBEs). These …
regarded for solving linear and nonlinear population balance equations (PBEs). These …
Elzaki projected differential transform method for multi-dimensional aggregation and combined aggregation-breakage equations
Numerous real-world fields, including planetary science, bio-pharmaceutical, chemical
study, food processing industry, and many more are profoundly impacted by population …
study, food processing industry, and many more are profoundly impacted by population …
[HTML][HTML] Two moments preserving sectional approach for an enzymatic coagulation equation
The coagulation process has found extensive applications in monitoring the evolution of
aerosol and granule preparation in pharmaceutical sciences, blood clotting in biology, and …
aerosol and granule preparation in pharmaceutical sciences, blood clotting in biology, and …
[HTML][HTML] Explicit and approximate solutions for a classical hyperbolic fragmentation equation using a hybrid projected differential transform method
Population balance equations are widely used to study the evolution of aerosols, colloids,
liquid–liquid dispersion, raindrop fragmentation, and pharmaceutical granulation. However …
liquid–liquid dispersion, raindrop fragmentation, and pharmaceutical granulation. However …
Performance analysis and accuracy of numerical methods for solving simultaneous nonlinear particulate processes with multi-dimensional extension
The simultaneous population balance equation (PBE) incorporating diverse particulate
process aggregation, breakage, growth, nucleation and source is a long-standing and …
process aggregation, breakage, growth, nucleation and source is a long-standing and …
Solving Population Balance Models via a Novel Semi-analytical Method
This article uses a novel semi-analytical method called the Daftardar-Jafari method (DJM) to
solve the condensing coagulation model (CCM) and the Lifshitz-Slyozov model (LSM). Our …
solve the condensing coagulation model (CCM) and the Lifshitz-Slyozov model (LSM). Our …