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A priori error analysis of finite element method for linear fragmentation equation

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  • Sangwan, Monika
  • Yadav, Sangita
  • Kumar, Rajesh

Abstract

The finite element method is applied to solve the linear fragmentation population balance equation using linear basis functions. This numerical scheme ensures mass conservation as well as number preservation. We have proposed semi-discrete and fully-discrete algorithms to solve the model. A priori error estimate, first order in time and second order in space, is derived to assess the accuracy of the proposed numerical schemes. Additionally, numerical experiments are conducted to validate the theoretical findings using four different types of physical problems.

Suggested Citation

  • Sangwan, Monika & Yadav, Sangita & Kumar, Rajesh, 2026. "A priori error analysis of finite element method for linear fragmentation equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 246(C), pages 118-136.
    • Handle: RePEc:eee:matcom:v:246:y:2026:i:c:p:118-136
    DOI: 10.1016/j.matcom.2026.01.019
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