Operational Matrix Approach for Second-Order Matrix Differential Models

  • Kazem NouriEmail author
  • Samaneh Panjeh Ali Beik
  • Leila Torkzadeh
Research paper
Part of the following topical collections:
  1. Mathematics


The current paper contributes a new numerical algorithm for solving a class of second-order matrix differential equations. To do so, the operational matrix of integration based on the shifted Legendre polynomials together with the collocation method is used to reduce the main problem to coupled matrix equations. An error estimation is provided which verifies the exponential rate of convergence. Numerical experiments are reported to demonstrate the applicability and efficiency of the suggested scheme.


Matrix differential equation Shifted Legendre polynomials Operational matrix of integration Collocation method Error estimation 

Mathematics Subject Classification

15A24 33D52 65F30 65L60 


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Copyright information

© Shiraz University 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Mathematics, Statistics and Computer SciencesSemnan UniversitySemnanIran
  2. 2.Young Researchers and Elite Club, Karaj BranchIslamic Azad UniversityKarajIran

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