Mathematical approach and numerical analysis to the fundamental solutions method of Dirichlet problem. (1st June 1999)

• Record Type: Journal Article
• Authors: Inoue, Tetsuo
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 22:Number 2(1999)
• Page Start: 349
• Page End: 365
• Publication Date: 1999-06-01
• Subjects: Extremal weighted polynomial -- weak convergence -- normalized counting measure on zeros -- fundamental solutions method -- Dirichlet problems -- charge points; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171299223496
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Potentially theoretical schemes in the fundamental solutions method will be proposed for Dirichlet problems of unbounded and bounded Jordan domains. The asymptotic theorem on extremal weighted polynomials will play fundamental roles to introduce a new scheme and to determine the distribution of charge points. Typical examples of the method will show that the numerical results of higher accuracy than those of the the conventional one can be obtained.