Finite difference schemes for time-dependent convection q-diffusion problem

Finite difference schemes for time-dependent convection q-diffusion problem

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The energy balance ordinary differential equations (ODEs) model of climate change is extended to the partial differential equations (PDEs) model apac1/60/1/cw with convections and q-diffusions.Instead of integer order second-order partial derivatives, partial q-derivatives are considered.The local stability analysis of the ODEs model is established using the Routh-Hurwitz criterion.A numerical scheme is constructed, which is explicit and second-order in time.For spatial derivatives, second-order central difference formulas are employed.

The stability condition of the numerical scheme iphone xr price calgary for the system of convection q-diffusion equations is found.Both types of ODEs and PDEs models are solved with the constructed scheme.A comparison of the constructed scheme with the existing first-order scheme is also made.The graphical results show that global mean surface and ocean temperatures escalate by varying the heat source parameter.Additionally, these newly established techniques demonstrate predictability.