Dr. Muhammad Abbas

Associate Professor
University of Sargodha, Pakistan

Highest Degree
PostDoc Fellow in Mathematical Sciences from Universiti Sains Malaysia, Malaysia

My URL
https://livedna.org/92.25733

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Area of Interest:

Mathematics
Difference Equations
Discrete Mathematics
Geometric Theory
Mathematical Sciences

Selected Publications

  1. Yaseen, M. and M. Abbas, 2018. Numerical solution of time fractional diffusion problem: A cubic trigonometric B-spline approach. R. Soc. Open Sci. (In Press). .

  2. Yaseen, M. and M. Abbas, 2018. Finite difference/cubic trigonometric B-spline approximations for time fractional telegraph equation. Malaysian J. Math. Sci. (In Press). .

  3. Yaseen, M. and M. Abbas, 2018. An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation. Int. J. Comput. Math., (In Press). .

  4. Wasim, I., M. Abbas and M.K. Iqbal, 2018. Numerical solution of modified forms of camassa-holm and degasperis-procesi equations via quartic b-spline collocation method. Commun. Math. Applic., 96: 393-409.

  5. Wasim, I., M. Abbas and M. Amin, 2018. Hybrid B-spline collocation method for solving the generalized burgers-fisher and burgers-huxley equations. Math. Prob. Eng., Vol. 2018. 10.1155/2018/6143934.
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  6. Wasim, I. and M. Abbas, 2018. Numerical solution of PHI-Four and Allen-Cahn equations by modified cubic B-spline collocation method. Commun. Math. Applic. (In Press). .

  7. Wasim, I. and M. Abbas, 2018. Exponential B-spline collocation method for the numerical solution of generalized Newell Whitehead Segel type equation. TWMS J. Applied Eng. Math. (In Press). .

  8. Mohyud-Din, S.T., T. Akram, M. Abbas, A.I. Ismail and N.H. Ali, 2018. A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection-diffusion equation. Adv. Difference Equations, Vol. 2018 10.1186/s13662-018-1537-7.
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  9. Khalid, N., M. Abbas and M.K. Iqbal, 2018. Non-polynomial quintic spline for numerical solution of fourth-order time fractional partial differential equations. Applied Math. Comput., (In Press). .

  10. Iqbal, M.K., M. Abbas and N. Khalid, 2018. New cubic B-spline approximation for the solution of a class of singular BVP's arising in physiology. Commun. Math. Applic., 9: 377-392.

  11. Iqbal, M.K., M. Abbas and I. Wasim, 2018. New cubic B-spline approximation for solving third order emden-flower type equations. Applied Math. Comput., 331: 319-333.
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  12. Iqbal, M.K. and M. Abbas, 2018. New quintic B-spline approximation for numerical solution of fourth order singular boundary value problems. Plos One, (IN Press). .

  13. Iqbal, M.K. and M. Abbas, 2018. New quartic b-spline approximation for numerical solution of third order singular boundary value problems. Punjab Univ. J. Math., (In Press). .

  14. Iqbal, M.K. and M. Abbas, 2018. New quartic B-spline approximations for numerical solution of fourth order singular boundary value problems. J. Nat. Sci. Found. Sri Lanka (In Press). .

  15. Ibrahim, A., M. Abbas, A.L.A. Ramli and J.M. Ali, 2018. Geometric modeling of rational quadratic bezier-like curve with shape parameters. J. Assoc. Arab Univ. Basic Applied Sci. (In Press). .

  16. Akram, T., M. Abbas, A.I.M. Ismail and A.A. Majid, 2018. Numerical solution of third-order singularly perturbed boundary value problems via quartic trigonometric B-spline. Inst. Math. (In Press). .

  17. Akram, T., M. Abbas and A.I. Ismail, 2018. The application of quartic trigonometric B-spline for solving second order singular boundary value problems. Commun. Math. Applic., 9: 433-445.

  18. Yaseen, M., M. Abbas, T. Nazir and D. Baleanu, 2017. A finite difference scheme based on cubic trigonometric B-splines for time fractional diffusion-wave equation. Adv. Difference Equat., Vol. 2017. .

  19. Yaseen, M., M. Abbas, A.I. Ismail and T. Nazir, 2017. A cubic trigonometric B-spline collocation approach for the fractional sub-diffusion equations. Applied Math. Comput., 293: 311-319.
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  20. Rashid, A., D. Lu, A.I.M. Ismail and M. Abbas, 2017. Numerical solution of the generalized Hirota-Satsuma coupled Korteweg-de Vries equation by Fourier Pseudospectral method. J. Comput. Anal. Applic., 23: 1412-1423.
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  21. Nazir, T., M. Abbas and M. Yaseen, 2017. Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach. Cogent Math. Stat., Vol. 4. 10.1080/23311835.2017.1382061.
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  22. Mustafa, G., M. Abbas, S.T. Ejaz, A.I.M. Ismail and F. Khan, 2017. A numerical approach based on subdivision schemes for solving non-linear fourth order boundary value problems. J. Comput. Anal. Applic., 23: 607-623.
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  23. Jaafar, W.N.W., M. Abbas, A.R.M. Piah and T. Nazir, 2017. Positive data modelling using rational cubic ball spline function with cubic numerator and denominator. Int. J. Applied Math. Stat., 57: 128-144.

  24. Nazir, T., M. Abbas, A.A. Majid, A.I.M. Ismail and A. Rashid, 2016. The numerical solution of convection-diffusion problem with cubic trigonometric B-splines. Applied Math. Model., 40: 4586-4611.

  25. Jaafar, W.N.W., M. Abbas and A.R.M. Piah, 2016. C2 rational cubic ball spline functions. Indian J. Sci. Technol., 8: 1-13.

  26. Zin, S.M., M. Abbas, A.A. Majid and A.I.M. Ismail, 2014. A new trigonometric spline approach to numerical solution of generalized nonlinear Klien-Gordon equation. Plos One, Vol. 9. 10.1371/journal.pone.0095774.
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  27. Zin, S.M., A.A. Majid, A.I.M. Ismail and M. Abbas, 2014. Cubic trigonometric B-spline approach to numerical solution of wave equation. Int. J. Math. Comput. Phys. Quant. Eng., 8: 1212-1216.
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  28. Zin, S.M., A.A. Majid, A.I.M. Ismail and M. Abbas, 2014. Application of hybrid cubic B-spline collocation approach for solving a generalized nonlinear Klien-Gordon equation. Math. Prob. Eng., Vol. 2014. 10.1155/2014/108560.
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  29. Rashid, A., M. Abbas, A.I.M. Ismail and A.A. Majid, 2014. Numerical solution of the coupled viscous burgers equations by chebyshev-legendre pseudo-spectral method. Applied Math. Comput., 245: 372-381.
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  30. Jaafara, W.N.W., M. Abbasb and A.R.M. Piahb, 2014. Shape preserving visualization of monotone data using a rational cubic ball function. Sci. Asia, 40: 40-46.

  31. Abbasa, M., A.A. Majidb, M.N.H. Awangc and J.M. Alib, 2014. Monotonicity-preserving rational bi-cubic spline surface interpolation. Scienceasia, 40: 22-30.

  32. Abbas, M., N. Ramli, A.A. Majid and J.M. Ali, 2014. The representation of circular arc by using rational cubic timmer curve. Math. Prob. Eng., Vol. 2014. 10.1155/2014/408492.
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  33. Abbas, M., A.A. Majid, M.N.H. Awang and J.M. Ali, 2014. Convexity preserving rational bi-cubic spline surface interpolation. Sci. Asia, 40S: 31-39.

  34. Abbas, M., A.A. Majid, A.I.M. Ismail and A. Rashid, 2014. Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems. Applied Analysis, Vol. 2014. 10.1155/2014/849682.
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  35. Abbas, M., A.A. Majid, A.I.M. Ismail and A. Rashid, 2014. Numerical method using cubic B-spline for a strongly coupled reaction-diffusion system, Plos One, Vol. 9. 10.1371/journal.pone.0083265.
    CrossRef  |  

  36. Abbas, M., A.A. Majid and J.M. Ali, 2014. Positivity-preserving rational bi-cubic spline interpolation for 3D positive data. Applied Math. Comput., 234: 460-476.
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  37. Abbas, M., A.A. Majid and J.M. Ali, 2014. Local convexity-preserving C2 rational cubic spline for convex data. Scient. World J., Vol. 2014. 10.1155/2014/391568.
    CrossRef  |  

  38. Abbas, M., A.A. Majid and A.I.M. Ismail, 2014. The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems. Applied Math. Comput., 239: 74-88.
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  39. Bashir, U., M. Abbas, M.N.H. Awang and J.M. Ali, 2013. A class of quasi-quintic trigonometric Bezier curve with two shape parameters. ScienceAsia 39S: 11-15.

  40. Bashir, U., M. Abbas and J.M. Ali, 2013. The G2 and C2 rational quadratic trigonometric Bezier curve with two shape parameters with applications. Applied Math. Comput., 219: 10183-10197.
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  41. Abbas, M., A.A. Majid and J.M. Ali, 2013. A rational spline for preserving the shape of positive data. Int. J. Comput. Elect. Eng., 5: 442-446.

  42. Bashir, U., M. Abbas, M.N.H. Awang and J.M. Ali, 2012. The quadratic trigonometric bezier curve with single shape parameter. J. Basic. Appllied Sci. Res., 2: 2541-2546.

  43. Bashir, U., M. Abbas, A. Abd Majid and J.M. Ali, 2012. The rational quadratic trigonometric bezier curve with two shape parameters. IEEE Comput. Soc., 2012: 31-36.

  44. Ahd Shukri, F.N.B., M. Abbas, U. Bashir, M.N.H. Awang, E. Jamal and J.M. Ali, 2012. Cubic bezier constrained curve interpolation, J. Basic. Applied Sci. Res., 2: 3682-3692.

  45. Abbas, M., J.M. Ali and A.A. Majid, 2012. Shape preserving constrained data visualization using spline functions. Int. J. Applied Math. Stat., 5: 34-50.

  46. Abbas, M., A.A. Majid, M.N.H. Awang and J.M. Ali, 2012. Shape-preserving rational bi-cubic spline for monotone surface data. WSEAS Trans. Math., 7: 660-673.

  47. Abbas, M., A.A. Majid, M.N.H. Awang and J.M. Ali, 2012. Shape preserving for 3D positive data by spline functions. Applied Math. Sci., 6: 291-307.

  48. Abbas, M., A.A. Majid, M.N.H. Awang and J.M. Ali, 2012. Local convexity shape preserving surface data visualization by spline function. Br. J. Math. Comput. Sci., 2: 72-93.

  49. Abbas, M., A.A. Majid, M.N.H. Awang and J.M. Ali, 2012. Constrained shape preserving rational bi-cubic spline interpolation. World Appl. Sci. J., 20: 790-800.
    CrossRef  |  

  50. Abbas, M., A.A. Majid and J.M. Ali, 2012. Shape preserving rational bi-cubic function for positive data. World Applied Sci. J., 18: 1671-1679.

  51. Abbas, M., A.A. Majid and J.M. Ali, 2012. Monotonicity-preserving C2 rational cubic spline for monotone data. Applied Math. Comput., 219: 2885-2895.

  52. Abbas, M., A. Abd Majid, M.N. Hj Awang and J.M. Ali, 2012. Local convexity shape-preserving data visualization by spline function. ISRN Math. Anal., Vol. 2012. .

  53. Ling, C.C., M. Abbas and J.M. Ali, 2011. Minimum energy curve in polynomial interpolation. Matematika UTM, 27: 159-167.

  54. Abbas, M., S.H. Yahaya, E. Jamal, A.A. Majid and J.M. Ali, 2011. Spur gear tooth design and transition curve as a spiral using cubic trigonometric bezier function. IEEE Comput. Soc., 2011: 76-81.

  55. Abbas, M., J.M. Ali and A.A. Majid, 2011. Positivity preserving interpolation of positive data by cubic trigonometric spline. Matematika UTM, 27: 41-50.

  56. Abbas, M., E. Jamal and J.M. Ali, 2011. Bezier curve interpolation constrained by a line. Applied Math. Sci., 5: 1817-1832.

  57. Ling, C.C., M. Abbas and J.M. Ali, 2010. Approximating GCS by low energy Hermite curve. Eur. J. Scient. Res., 46: 616-626.
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Member since December, 2018