{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T04:58:37Z","timestamp":1648616317670},"reference-count":8,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2007,1,1]],"date-time":"2007-01-01T00:00:00Z","timestamp":1167609600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2007]]},"abstract":"<jats:p>Of concern in this paper is the numerical solution of Cauchy-type singular integral equations of the first kind at a discrete set of points. A quadrature rule based on Lagrangian interpolation, with the zeros of Jacobi polynomials as nodes, is developed to solve these equations. The problem is reduced to a system of linear algebraic equations. A theoretical convergence result for the approximation is provided. A few numerical results are given to illustrate and validate the power of the method developed. Our method is more accurate than some earlier methods developed to tackle this problem.<\/jats:p>","DOI":"10.1155\/2007\/10957","type":"journal-article","created":{"date-parts":[[2007,11,8]],"date-time":"2007-11-08T16:26:19Z","timestamp":1194539179000},"page":"1-12","source":"Crossref","is-referenced-by-count":2,"title":["Solution of Cauchy-Type Singular Integral Equations of the First Kind with Zeros of Jacobi Polynomials as Interpolation Nodes"],"prefix":"10.1155","volume":"2007","author":[{"given":"G. E.","family":"Okecha","sequence":"first","affiliation":[]}],"member":"98","reference":[{"key":"1","series-title":"Monographs and Textbooks on Mechanics of Solids and Fluids: Mechanics and Analysis","volume-title":"The Application and Numerical Solution of Integral Equations","volume":"6","year":"1980"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.2307\/2007436"},{"key":"4","volume-title":"Handbook of Computational Methods for Integration","year":"2005"},{"key":"5","volume-title":"Mathematical Methods of Two-Dimensional Elasticity","year":"1973"},{"key":"6","volume-title":"Singular Integral Equations","year":"1992"},{"key":"7","series-title":"International Series in Pure and Applied Mathematics","volume-title":"A First Course in Numerical Analysis","year":"1978"},{"key":"8","series-title":"National Bureau of Standards, Applied Math Series","volume-title":"Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables","volume":"55","year":"1968"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01934184"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2007\/010957.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2007\/010957.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,11]],"date-time":"2016-08-11T10:57:45Z","timestamp":1470913065000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2007\/010957\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"references-count":8,"alternative-id":["010957","10957"],"URL":"https:\/\/doi.org\/10.1155\/2007\/10957","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007]]}}}