{"id":30,"date":"2025-03-13T15:10:41","date_gmt":"2025-03-13T15:10:41","guid":{"rendered":"https:\/\/people.mtsu.edu\/akhaliq\/?page_id=30"},"modified":"2026-04-26T18:32:54","modified_gmt":"2026-04-26T23:32:54","slug":"citations","status":"publish","type":"page","link":"https:\/\/people.mtsu.edu\/akhaliq\/citations\/","title":{"rendered":"Citations"},"content":{"rendered":"\n

More than 1625 citations in Google Scholar<\/a><\/p>\n\n\n\n

h – index 24
i10 – index 51<\/p>\n\n\n\n

    \n
  1. M. Milev and A. Tagliani, \u00a0Numerical valuation of discrete double barrier options \u00a0Journal of Computational and Applied Mathematics, Vol. 233(10), 2468 – 2480, 2010.<\/li>\n\n\n\n
  2. Hong-Lin Liao and Zhi-Zhong Sun, Maximum norm bounds of ADI and compact ADI methods \u00a0for solving parabolic equations, Numerical Methods for Partial Differential Equations, An International Journal, Vol. 26,37-60, 2010.<\/li>\n\n\n\n
  3. Weizhong Dai, A new accurate finite difference scheme for Neumann \u00a0boundary condition of heat conduction, International Journal of Thermal Sciences, Vol. 49, 571\u2013579, 2010.<\/li>\n\n\n\n
  4. B. Shi and Z. Guo, Lattice Boltzmann model for nonlinear convection-diffusion equations, Physical Review E 79, 016701, 2009.<\/li>\n\n\n\n
  5. Zhi-Zhong Sun, Compact difference schemes for heat equation with Neumann boundary \u00a0 conditions, Numerical Methods for Partial Differential Equations, An International Journal, Vol. 25, 1320-1341, 2009.<\/li>\n\n\n\n
  6. Elisabeth Larsson, Krister \u00c5hlander and Andreas Hall, Multidimensional option \u00a0 pricing using radial basis functions and the generalized Fourier transform, Journal of Computational and Applied Mathematics, Vol. 222(1), 175-192, 2008.<\/li>\n\n\n\n
  7. Mike Giles, and Ronnie Sircar, Financial Mathematics at ICIAM, SIAM news, October, 2007.<\/li>\n\n\n\n
  8. D.D. Ganji and S.H. Hashemi, Explicit solution for fourth-order equation with variable coefficients in higher-dimensional spaces using homotopy \u00a0perturbation method, \u00a0Far East Journal of Applied Mathematics, 26(3), 305-320, 2007.<\/li>\n\n\n\n
  9. D. J. Duffy, Finite Difference Methods in Financial Engineering, John Wiley, 2006.<\/li>\n\n\n\n
  10. Persson, Ph.D. Thesis, Department of Information Technology, Uppsala University, Sweden, 2006.<\/li>\n\n\n\n
  11. P. Jain, Four step in phase predictor corrector method for periodic initial value problems, Journal of Computational Methods in Science and Engineering, 6(1-4), 31-37, 2006<\/li>\n\n\n\n
  12. R.K. Thuasiram, C. Zhen, A. Chhabra, P. Thulasiram, A.B. Gumel, A second order L stable algorithm for evaluation European options, International Journal of High Performance Computing and Networking, 4(5\/6), 2006.<\/li>\n\n\n\n
  13. Zhizhong Sun, Xuelin Li, A Compact Alternate Direct Implicit Difference Method for the Reaction Diffusion Equation, Journal of Mathematica Numerica Sinica, Vol. 27(2), 209-224, 2005.<\/li>\n\n\n\n
  14. Yan Xu, and Chi-Wang Shu, Local discontinuous Galerkin methods for nonlinear Schr\u00f6indger Equation, Journal of Computational Physics, Vol. 205(1), 72-97, 2005.<\/li>\n\n\n\n
  15. Kampt, and M. Sadinasab, The Circulation of the Persian Gulf: a Numerical Study, Ocean Science Discussions, Vol 2, 129-164, 2005.<\/li>\n\n\n\n
  16. G.M. Muslu, and H.A. Erbay, Higher-order Split-Step Fourier Schemes for the Generalized nonlinear Schrodinger equation, Mathematics and Computers in Simulation, Vol. 67, 581-595, 2005.<\/li>\n\n\n\n
  17. M. Yousuf, Ph.D. Thesis, Department of Mathematical Sciences, University of Wisconsin-Milwaukee, USA, Dec.2004.<\/li>\n\n\n\n
  18. H. Cheng, P. Lin, Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman-Rachford Splitting, SIAM J. Scientific Computing, 25(4), 1273-1292, 2003.D. Kaya, A numerical solution of the sine-Gordon equation using the modified De-composition method, Applied Mathematics and Computation, 143(2-3), 309 \u2013 317, 2003.<\/li>\n\n\n\n
  19. Dehghan, On \u00a0the Numerical solution of the diffusion equation with non- local boundary conditions, \u00a0Journal of Mathematical Problems in Engineering, Vol.2, 81-92, 2003.<\/li>\n\n\n\n
  20. M.S.Ismail, and A.G. Bratsos, A predictor-Corrector Scheme for the Numerical Solution of the Boussinesq Equation, Journal of Applied Mathematics and Computing, Vol.13(1-2), 11-27, 2003.<\/li>\n\n\n\n
  21. M. Siddique, Ph.D. Thesis, Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USA, Dec.2002 .<\/li>\n\n\n\n
  22. Yu Zhuang and Xian-He Sun, Stabilized Explicit-Implicit Domain Decomposition \u00a0Methods for The Numerical Solution of Parabolic Equations, SIAM J. Sci. Computing. 24(1), 335-358, 2002.<\/li>\n\n\n\n
  23. Li Bingkun, G. Fairweather, and B. Bialecki, Discrete \u2013Time orthogonal spline collocation methods for vibration problems, 39(6), 2045-2065, 2002<\/li>\n\n\n\n
  24. M. M. Chawala, M. A. Al-Zanaidi and D. J. Evans, International Journal of Computer Mathematics, 73(4) 503-516, 2000 .<\/li>\n\n\n\n
  25. K.E. Hrdina, J.W.Halloran, M. Kaviany , A. Oliveira, Defect formation during binder removal in ethylene vinyl acetate filled system, Journal of Material Sciences, 34(13) 3281-3290, 1999.<\/li>\n\n\n\n
  26. K.E. Hrdina, J.W.Halloran, A. Oliveira, M. Kaviany, Journal of Material Science, 33(11)27952803,1998.<\/li>\n\n\n\n
  27. D. Calvetti, E. Gallapoulos, and L. Reichel, Incomplete Partial Fraction for Parallel Evaluation of Rational Matrix Function, Journal of Computational and Applied Mathematics, 59(3),349-380,1995.<\/li>\n\n\n\n
  28. M. A. Arigu, E. H. Twizell and A. B. Gumel, Parallel Algorithms and Applications, 119-128, 1995.<\/li>\n\n\n\n
  29. T. E. Simons, International Journal of Quantum Chemistry, 53 (5), 473-483, 1995<\/li>\n\n\n\n
  30. K. Burrage, Applied Numerical Mathematics, 1993.<\/li>\n\n\n\n
  31. Q-Sheng, IMA Journal of Numerical Analysis, 1993.<\/li>\n\n\n\n
  32. Jan F. Frankena; Faculty of Applied Mathematics Research Report No. 966, University of Twente, The Netherlands, May 1991.<\/li>\n\n\n\n
  33. G. Vanden Berghe, H. De Meyer, and J. Van Thourout, International Journal of Computer Mathematics, 32, 233-242,1990<\/li>\n\n\n\n
  34. R. K. Sharma, Mathematical Analysis and its Applications, 1989.<\/li>\n\n\n\n
  35. J. P. Coleman; IMA Journal of Numerical Analysis, 1989.<\/li>\n\n\n\n
  36. Ilio Galligani and Valeria Ruggerio, Parallel Computing 9, 359-365 (1988\/89).<\/li>\n\n\n\n
  37. P. J. Van Der Houwen and B.P. Sommeijer; SIAM Journal on Numerical Analysis, 26(1), 214-229, 1989.<\/li>\n\n\n\n
  38. D. A. Voss and S. M. Serbin; Computers and Mathematics with Applications, 1987.<\/li>\n\n\n\n
  39. P. J. Van Der Houwen and B. \u00a0P. Sommeijer; SIAM Journal on Numerical Analysis, 1987.<\/li>\n\n\n\n
  40. V. Selmin, J. Donea, L. Quartapelle; Computer Methods in applied Mechanics and Engineering, 52, 817-845, 1985.<\/li>\n\n\n\n
  41. A. Noor and S. Tirmizi, International J. of Engineering Science, 22, \u00a0467-473, 1984.<\/li>\n\n\n\n
  42. Simon Ola. Fatunla; Numerical Methods for Initial Value Problems in Ordinary Differential Equations, Academic Press, Inc., 1988.<\/li>\n\n\n\n
  43. J. C. Buthcher; The Numerical Analysis of Differential Equations, Wiley, 1986.<\/li>\n\n\n\n
  44. R. C. Aiken (Ed): Stiff Computation, Oxford University Press, 1985.<\/li>\n\n\n\n
  45. G. D. Smith; Numerical Solutions of Partial Differential Equations. Finite Difference Methods, Clarendon Press, Oxford, Third Edition 1985.<\/li>\n\n\n\n
  46. E. H. Twizell; Computational Methods for Partial Differential Equations, Ellis Harwood\/ John Wiley & Sons, Chichester, December, 1984.<\/li>\n\n\n\n
  47. Bingkun Li, University of Kentucky, KY, USA, March 1998.<\/li>\n\n\n\n
  48. Aba Gumel, Brunel University, England, May 1997.<\/li>\n\n\n\n
  49. S. A. Taj; Brunel University, England, Dec. 1995.<\/li>\n\n\n\n
  50. K.Djidjeli; Brunel University, England, Dec1992.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    More than 1625 citations in Google Scholar h – index 24i10 – index 51<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-30","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/pages\/30","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/comments?post=30"}],"version-history":[{"count":1,"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/pages\/30\/revisions"}],"predecessor-version":[{"id":179,"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/pages\/30\/revisions\/179"}],"wp:attachment":[{"href":"https:\/\/people.mtsu.edu\/akhaliq\/wp-json\/wp\/v2\/media?parent=30"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}