Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Comparison of two efficient techniques to solve Fredholm integral equations in weighted spaces. |
| Συγγραφείς: |
Bouayadi, A. El1 (AUTHOR) abdelmajid.elbouayadi.d23@ump.ac.ma, Allouch, C.1 (AUTHOR) c.allouch@ump.ac.ma, Arrai, M.1 (AUTHOR) arrai.mohamed@ump.ac.ma, Boujraf, A.2 (AUTHOR) a.boujraf@uae.ac.ma, Tahrichi, M.3 (AUTHOR) m.tahrichi@ump.ac.ma |
| Πηγή: |
Mathematics & Computers in Simulation. Dec2026, Vol. 250, p234-245. 12p. |
| Θεματικοί όροι: |
*Fredholm equations, *Jacobi polynomials, *Iterative methods (Mathematics), *Function spaces, *Numerical analysis |
| Περίληψη: |
This study investigates modified degenerate kernel and Nyström methods, which use an interpolating operator at the roots of the Jacobi polynomials in suitable weighted spaces to approximate the solution of second-kind Fredholm integral equations. The integrands of these equations exhibit endpoint algebraic singularities. The suggested methods are more cost-effective than the standard ones, and the precision of the approximate solutions can further be enhanced by using Sloan 's iteration. To demonstrate the viability of the proposed approaches, certain numerical tests are offered. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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