Derivative-Free Broyden's Method for Inverse Partially Known Sturm-Liouville Potential Functions

Athassawat Kammanee


In this research a general potential function is recovered by  the information of not only a set of equispaced nodes on half its domain but also a sequence of given eigenvalues. Furthermore in each iteration step Numerov's method is the main tool used to approximate  the eigenvalues.
In order to achieve  our aim derivative-free Broyden's method is applied to
solve a system of nonlinear equations. Additionally, the numerical implementation demonstrates that our method provides agreeable results.

Full Text: PDF


  • There are currently no refbacks.

The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|