• Diwari Lal
• Krishan Kant Singh

: In this paper, we deal with the 1D heat equation with convection models heat transfer in materials, where both conduction and convection influence the temperature distribution. Advanced computational techniques, such as the double interpolation method, offer a novel approach to solving this equation with higher accuracy and efficiency. This method combines interpolation schemes in time and space dimensions, providing improved approximations to the temperature field. By applying this dual strategy, the double interpolation method reduces numerical dispersion and enhances stability, making it well-suited for problems where convection plays a significant role. These advancements hold promise for more accurate simulations in thermal engineering and related fields, where precise temperature predictions are critical for system performance and safety.

1D heat equation, convection, double interpolation method, numerical techniques, heat transfer

"Advanced Computational Techniques for the solution of 1 D Heat Equation with Convection: the Double Interpolation Method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 10, page no.e727-e737, October-2024, Available :http://www.jetir.org/papers/JETIR2410479.pdf

"Advanced Computational Techniques for the solution of 1 D Heat Equation with Convection: the Double Interpolation Method", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 10, page no. ppe727-e737, October-2024, Available at : http://www.jetir.org/papers/JETIR2410479.pdf