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For instance k = 2, where in any case k is used in the source code, it will always be assigned 2. On the other hand, variables are defined as integers x, characters r or float g. A variable can also be used to represent values which are not known in equations while constant represents the know value
(Frese, Wilkens, Huber, Jensen, Oelfke& Taheri, 2011).
Variables can be dependent or independent. For instance, if y = x+4 it means that x is the independent variable while y is the dependent variable while 4 is a constant since it is not affected by change of values of x and y. From the above example when x = 1, y = 5, when x = 2, y = 6. A constant always fixed while a variable is not.
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References
Cleary, M. J., & Klimenko, A. Y. (2011). A detailed quantitative analysis of sparse-Lagrangian filtered density function simulations in constant and variable density reacting jet flows. Physics of Fluids.
Frese, M. C., Wilkens, J. J., Huber, P. E., Jensen, A. D., Oelfke, U., & Taheri-Kadkhoda, Z. (2011). Application of constant vs. variable relative biological effectiveness in treatment planning of intensity-modulated proton therapy.