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article · Electronic Journal of Mathematical Analysis and Applications

ON APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS WITH VARIABLE COEFFICIENTS USING LEGENDRE COLLOCATION METHOD A. O. ADESANYA, J. A. OSILAGUN, O. O. ADUROJA AND S. ADAMU

2023Open accessOsun State University

Abstract

In this paper, we applied method based on Legendre polynomial collocation method to obtain numerical solutions to linear differential difference equations with mixed conditions.The given problem is converted to a system of algebraic equations, which is then solved using matrix inversion method.Numerical examples are presented to test the efficiency and accuracy of the method.

Research topics

  • Differential Equations and Numerical Methods
  • Differential Equations and Boundary Problems
  • Numerical methods for differential equations

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DOI: 10.21608/ejmaa.2023.284583

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