第二類Volterra積分方程的一類可約求積公式

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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 [中圖分類號］0242.2 [文獻標(biāo)識碼］A [文章編號] 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

上述條件保證了Picard迭代下，式（1）有 m 階連續(xù)的唯一解。（剩余8221字）