{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:41Z","timestamp":1740134561693,"version":"3.37.3"},"reference-count":36,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271311","11371016","IRT1179","CX2013B252"],"award-info":[{"award-number":["11271311","11371016","IRT1179","CX2013B252"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271311","11371016","IRT1179","CX2013B252"],"award-info":[{"award-number":["11271311","11371016","IRT1179","CX2013B252"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Chinese Program for Changjiang Scholars and Innovative Research Team in University","award":["11271311","11371016","IRT1179","CX2013B252"],"award-info":[{"award-number":["11271311","11371016","IRT1179","CX2013B252"]}]},{"name":"Hunan Province Innovation Foundation for Postgraduate","award":["11271311","11371016","IRT1179","CX2013B252"],"award-info":[{"award-number":["11271311","11371016","IRT1179","CX2013B252"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>. This approach is based on the finite difference in time and the global sinc collocation in space. By utilizing the collocation technique and some properties of the sinc functions, the problem is reduced to the solution of a system of linear algebraic equations at each time step. Stability and convergence of the proposed method are rigorously analyzed. The numerical solution is of<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mn>3<\/mml:mn><mml:mo>-<\/mml:mo><mml:mi>\u03b1<\/mml:mi><\/mml:math>order accuracy in time and exponential rate of convergence in space. Numerical experiments demonstrate the validity of the obtained method and support the obtained theoretical results.<\/jats:p>","DOI":"10.1155\/2014\/536030","type":"journal-article","created":{"date-parts":[[2014,7,2]],"date-time":"2014-07-02T17:10:37Z","timestamp":1404321037000},"page":"1-11","source":"Crossref","is-referenced-by-count":5,"title":["Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7422-7158","authenticated-orcid":true,"given":"Zhi","family":"Mao","sequence":"first","affiliation":[{"name":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, China"},{"name":"Mathematics and Information Engineering Department, Tongren University, Tongren, Guizhou 554300, 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