Open AccessQUADRATIC SPLINE COLLOCATION METHOD FOR WEAKLY SINGULAR INTEGRAL EQUATIONS AND CORRESPONDING EIGENVALUE PROBLEM
Author(s) -
Rene Pallav,
Arvet Pedas
Publication year - 2002
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2002.9637200
Subject(s) - mathematics , collocation method , mathematical analysis , collocation (remote sensing) , quadratic equation , integral equation , fredholm integral equation , eigenvalues and eigenvectors , rate of convergence , singular integral , spline (mechanical) , orthogonal collocation , convergence (economics) , ordinary differential equation , geometry , key (lock) , differential equation , physics , quantum mechanics , economic growth , economics , ecology , remote sensing , geology , biology , thermodynamics
A quadratic spline collocation method for the numerical solution of weakly singular Fredholm integral equations of the second kind and corresponding eigenvalue problem is constructed. Using quasi‐uniform and special graded grids, the rate of convergence of proposed numerical schemes is studied theoretically and numerically. Key words: weakly singular integral equations, collocation method, quadratic splines.