第二类Volterra积分方程的一类可约求积公式

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【Abstract]Volterraintegralequationsappearwidelyinmanypracticalappications，soitisneessarytoconstructnumeri cal methodsapplicableto Volterraintegrals.Inthispaper，weconstructaclassofreduciblequadratureformulasforsolving Volterraintegralquationsoftesecondkind，asedonLagrangeiterpolationatChebyshevodesandthestabilityoftse methodsisrigorouslyanalyzed.Itisfoundthattheproposedquadraturerulesachievefavorableconvergenceratesandexhibit broadstabilityregions.Numericalexperimentsconfirmtheirefectivenessinsolvingthesecond-kind Volterraintegralequations.

[KeyWords]reduciblequadratureformulas;Volteraintegralequation;Lagrangeinterpolation; Chebyshevnodes;stability [中图分类号］0242.2 [文献标识码］A [文章编号] 1674-3229（2025）02-0023-07

0 引言

|K（t，s，u1）-K（t，s，u2）|⩽LB|u1-u2|，

∀（t，s，u1），（t，s，u2）∈ΩB

上述条件保证了Picard迭代下，式（1）有 m 阶连续的唯一解。（剩余8221字）