Shifted Legendre Basis Functions on the Numerical Solution for the Class of Linear Integro Differential Equation.

Key Points

• The numerical solution using shifted Legendre basis functions enhances approximation accuracy for integro-differential equations.
• Results show that Legendre polynomials lead to solutions with reduced computational costs and lower storage requirements.
• The method aligns with findings from the literature, confirming its effectiveness in solving complex mathematical problems.
• Numerical approaches are essential for certain integro-differential equations where analytical solutions are infeasible.