Numerical solution of first-order exact differential equations by the integrating factor method

HIGHLIGHTS

• What: The authors propose an efficient numerical approach based on the collocation method and the use of integrating factors. The first focus of each ellipsoid coincides with the point light source, and the second is in the illuminated area. The authors propose to find the expansion ∑︀ coefficients 𝑐𝑘, 𝑘=0,..., 𝑛 of the approximate solution in the form of the series 𝑦(𝑥)=𝑛𝑘=0 𝑐𝑘 𝑇𝑘 (𝑥) of Chebyshev polynomials in two stages. The approach presented has been successfully applied by the authors to solve linear ODEs of the first and second order .
• Who: License (CC-BY and colleagues from the Acknowledgments: This . . .
  

   

  

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