On nonlocal boundary value problems of nonlinear nth-order q-difference equations

© 2017, The Author(s). In this paper, we study the existence and uniqueness of the solution of nonlocal boundary value problems of nonlinear nth-order q-difference equations. The uniqueness follows from the well-known Banach contraction principle. We prove that those q-solutions, under some conditio...

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Main Authors: S. Phothi, T. Suebcharoen, B. Wongsaijai
Format: Journal
Published: 2018
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019744546&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/46990
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-469902018-04-25T07:34:40Z On nonlocal boundary value problems of nonlinear nth-order q-difference equations S. Phothi T. Suebcharoen B. Wongsaijai Agricultural and Biological Sciences Arts and Humanities © 2017, The Author(s). In this paper, we study the existence and uniqueness of the solution of nonlocal boundary value problems of nonlinear nth-order q-difference equations. The uniqueness follows from the well-known Banach contraction principle. We prove that those q-solutions, under some conditions, converge to the classical solution when q approaches 1 − . A new numerical algorithm is introduced via definition of q-calculus for solving the nonlocal boundary value problem of nonlinear nth-order q-difference equations. The numerical experiments show that the algorithm is quite accurate and efficient. Moreover, numerical results are carried out to confirm the accuracy of our theoretical results of the algorithm. 2018-04-25T07:08:14Z 2018-04-25T07:08:14Z 2017-12-01 Journal 16871847 16871839 2-s2.0-85019744546 10.1186/s13662-017-1203-5 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019744546&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46990
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Agricultural and Biological Sciences
Arts and Humanities
spellingShingle Agricultural and Biological Sciences
Arts and Humanities
S. Phothi
T. Suebcharoen
B. Wongsaijai
On nonlocal boundary value problems of nonlinear nth-order q-difference equations
description © 2017, The Author(s). In this paper, we study the existence and uniqueness of the solution of nonlocal boundary value problems of nonlinear nth-order q-difference equations. The uniqueness follows from the well-known Banach contraction principle. We prove that those q-solutions, under some conditions, converge to the classical solution when q approaches 1 − . A new numerical algorithm is introduced via definition of q-calculus for solving the nonlocal boundary value problem of nonlinear nth-order q-difference equations. The numerical experiments show that the algorithm is quite accurate and efficient. Moreover, numerical results are carried out to confirm the accuracy of our theoretical results of the algorithm.
format Journal
author S. Phothi
T. Suebcharoen
B. Wongsaijai
author_facet S. Phothi
T. Suebcharoen
B. Wongsaijai
author_sort S. Phothi
title On nonlocal boundary value problems of nonlinear nth-order q-difference equations
title_short On nonlocal boundary value problems of nonlinear nth-order q-difference equations
title_full On nonlocal boundary value problems of nonlinear nth-order q-difference equations
title_fullStr On nonlocal boundary value problems of nonlinear nth-order q-difference equations
title_full_unstemmed On nonlocal boundary value problems of nonlinear nth-order q-difference equations
title_sort on nonlocal boundary value problems of nonlinear nth-order q-difference equations
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85019744546&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/46990
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