Chebyshev collocation method for an interface parabolic partial differential equation model of transdermal medication delivery and transcutaneous absorption

Abstract

An effective scheme based on the finite difference and Chebyshev collocation method is introduced to acquire approximate solutions of a mass transfer problem model for transdermal medication delivery. A priori error estimation is derived. The reliability of the proposed scheme is shown by comparing the drug concentration profiles with their counterparts acquired by other analytical and numerical methods.

Keywords

• Chebyshev collocation method
• Parabolic partial differential equations
• Transdermal medication delivery
• Interface differential equations