Unsteady magneto-hydrodynamic double-diffusive convection flows between two infinite vertical parallel plates have been investigated in the presence of the inclined magnetic field, heat generation or absorption, and chemical reaction. The dimensionless form of governing equations for momentum, energy and concentration has been solved using the integral transforms (Laplace and finite sine-Fourier transforms). The exact solutions for the velocity, temperature and concentration are obtained

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... any constraints. Semi analytical solutions of these problems are also established by using the Laplace inversion numerical algorithms Stehfest's and Tzou's. Further, we compare our obtained analytical and numerical results in graphical and tabular forms. Finally, the influence of pertinent parameters on the fluid velocity, temperature and concentration have been disused in detailed through graphs. Ó 2020 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). . Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Please cite this article in press as: X. Qiang et al., Double diffusive MHD convective flows of a viscous fluid under influence of the inclined magnetic field, source/sink and chemical reaction, Alexandria Eng. J. (2020), https://doi.