Email: mnmlst [at] gmx.com

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Recent articles (2020-2024)

  1. Rodrigo M (2024) 'An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains', Applied Mathematical Modelling, 129:275-296, https://doi.org/10.1016/j.apm.2024.01.049.
  2. Rodrigo M and Thamwattana N (2024) 'Analytical approach to solving linear diffusion–advection–reaction equations with local and nonlocal boundary conditions', Mathematical Methods in the Applied Sciences, published online 12 February 2024, https://doi.org/10.1002/mma.9937.

  3. Ajala I, Rodrigo M and Irhanida AK (2024) 'Strategies of differentiation and sustainable tourism: the case of the Gulf Countries', in Gartner WC (ed), New perspectives and paradigms in applied business and economics, Springer Proceedings in Business and Economics.

  4. Rodrigo M, Ajala I and Irhanida AK (2024) 'A tourism area life cycle model with an index-dependent growth rate for modelling the poststagnation stage', under review.
  5. Rodrigo M, Ajala I and Irhanida AK (2023) 'Qualitative analysis of a tourism area life cycle model for
    interacting tourist destinations', Annals of Tourism Research Empirical Insights, 4(1):100093, https://doi.org/10.1016/j.annale.2023.100093.
  6. Rodrigo M (2023) 'Analytical solutions of moving boundary problems for the time-fractional diffusion equation', under review.
  7. Rodrigo M and Zulkarnaen Z (2023) 'Index-dependent variable carrying capacities in population models:
    mathematical modelling and parameter estimation', under review.
  8. Rodrigo (2022) 'A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation', Fractional Calculus and Applied Analysis, 25:1757-1784, https://doi.org/10.1007/s13540-022-00087-3.
  9. Davis PN, van Hejster P, Marangell R and Rodrigo MR (2022) 'Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis', Journal of Dynamics and Differential Equations, 34:1325-1347, https://doi.org/10.1007/s10884-021-10003-7.
  10. Rodrigo M and Lo A (2022) 'Calibrating with a smile: a Mellin transform approach to volatility surface calibration', Econometrics and Statistics, published online 17 May 2022, https://doi.org/10.1016/j.ecosta.2022.05.004.
  11. Futcher T and Rodrigo MR (2022) ' A general class of integral transforms and an expression for their convolution formulas', Integral Transforms and Special Functions, 33(2): 91-107, https://doi.org/10.1080/10652469.2021.1910255.
  12. Futcher T and Rodrigo MR (2022) 'Unifying discrete and integral transforms through the use of a Banach algebra', Integral Transforms and Special Functions, 33(12): 992-1011, https://doi.org/10.1080/10652469.2022.2078815.
  13. Futcher T and Rodrigo MR (2022) 'Generalised convolutions on distributions and measures', under review.
  14. Rodrigo M and Mamon RS (2022) 'Jumping hedges on the strength of the Mellin transform', Results in Applied Mathematics, 14: 100262, https://doi.org/10.1016/j.rinam.2022.100262.
  15. Rodrigo M (2022) 'An alternative way of defining integration in multivariable calculus', International Journal of Mathematical Education in Science and Technology, published online, 7 July 2022, https://doi.org/10.1080/0020739X.2022.2095540.
  16. Rodrigo M (2022) 'A Laplace transform approach to direct and inverse problems for multi-compartment models', European Journal of Applied Mathematics, 33(6):1170-1184, https://doi.org/10.1017/S0956792522000055.
  17. Rodrigo MR (2022) 'Pricing formulas for perpetual American options with general payoffs', IMA Journal of Management Mathematics, 33(2):201-228, https://doi.org/10.1093/imaman/dpab011.
  18. González G and Rodrigo MR (2022) 'Explicit traveling and standing waves for a Lotka-Volterra competition system with strong advection rates', Dynamics of Continuous, Discrete and Impulsive Systems, 29(5):399-409, https://www.watam.org/B/.
  19. Rodrigo MR and Zulkarnaen D (2022) 'Mathematical models for population growth with variable carrying capacity: analytical solutions', AppliedMath, 2(3):466-479, https://doi.org/10.3390/appliedmath2030027.
  20. Rodrigo M and Goda K (2022) 'A stochastic differential equation model for aftershock frequency', preprint.
  21. Rodrigo M and Goda K (2022) 'Parameter estimation in the modified Omori law of aftershock
    sequences: an integration-based technique', under review.
  22. Rodrigo M (2022) 'Exact solutions of Itô stochastic differential equations via the Stratonovich calculus', under review.
  23. Rodrigo M (2022) 'A nonlinear partial differential equation for aftershock clustering: similarity reductions, exact solutions and spatio-temporal bounds', under review.
  24. Rodrigo MR (2021) 'On a strongly continuous semigroup for a Black-Scholes integro-differential operator: European options under jump-diffusion dynamics', Applicable Analysis, published online 6 July 2021, https://doi.org/10.1080/00036811.2021.1948536.
  25. Rodrigo MR (2021) 'An elementary method for obtaining the general solution of a system of ordinary differential equations', Electronic Journal of Differential Equations, 2021(58):1-20, https://ejde-ojs-txstate.tdl.org/ejde/article/view/296.
  26. Rodrigo MR and Thamwattana N (2021) 'A unified analytical approach to fixed and moving boundary problems for the heat equation', Mathematics, 9(7): 749, https://doi.org/10.3390/math9070749.
  27. Giorgini A, Mamon RS and Rodrigo MR (2021) 'A stochastic harmonic oscillator temperature model for the valuation of weather derivatives', Mathematics, 9(22):2890, https://doi.org/10.3390/math9222890.
  28. Rodrigo MR (2021) 'Constructing C0-semigroups via Picard iterations and generating functions: an application to a Black-Scholes integro-differential operator', Mathematics, 9(6):589, https://doi.org/10.3390/math9060589.
  29. Rodrigo MR and Mamon RS (2021) ' Bond pricing formulas for Markov-modulated affine term structure models', Journal of Industrial and Management Optimization, 17(5):2685-2702, https://doi.org/10.3934/jimo.2020089.
  30. Rodrigo MR (2021) 'Bounds on the critical times for the general Fisher-KPP equation', ANZIAM Journal, 63(4):448-468, https://doi.org/10.1017/S1446181121000365.
  31. Rodrigo MR and Li M (2021) 'Analogues of the Laplace transform and Z-transform with piecewise linear kernels', Foundations, 1(1):99-115, https://doi.org/10.3390/foundations1010008.
  32. Rodrigo MR (2020) 'Pricing of barrier options on underlying assets with jump-diffusion dynamics: a Mellin transform approach', Mathematics, 8(8):1271, https://doi.org/10.3390/math8081271.
  33. Guardasoni C, Rodrigo MR and Sanfelici S (2020), 'A Mellin transform approach to barrier option pricing', IMA Journal of Management Mathematics, 31(1):49-67, https://doi.org/10.1093/imaman/dpy016.
  34. Zulkarnaen D and Rodrigo MR (2020) 'Modelling human carrying capacity as a function of food availability', ANZIAM Journal, 62(3):318-333, https://doi.org/10.1017/S1446181120000206.
  35. Rodrigo MR (2020) 'On a generalisation of the fundamental matrix and the solution of operator equations', International Journal of Applied Mathematics, 33(3):413-438, https://doi.org/10.12732/ijam.v33i3.5.

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