University of Tabriz Computational Methods for Differential Equations 2345-3982 Articles in Press 2026 04 04 Advanced conjugate gradient technique for image restoration 21369 10.22034/cmde.2026.70442.3504 EN Basim Abbas Hassan Department of Mathematics, College of Computers Sciences and Mathematics University of Mosul, IRAQ SAIF A. HUSSEIN Mathematics AYAD ABDULAZIZ MAHMOOD math. Journal Article 2025 11 28 In this study, a novel conjugate coefficient that is especially intended to address picture restoration<br />issues is presented within the context of the conjugate gradient approach. Stability and dependability are ensured throughout the iterative process by the suggested method, which not only ensures<br />global convergence but also upholds the crucial descent feature. The results of extensive numerical<br />studies show that the new method regularly performs better than conventional tactics. Significant<br />gains in computing efficiency and restoration accuracy are particularly evident when compared to the<br />traditional Fletcher-Reeves (FR) conjugate gradient approach. With better performance in iteration<br />reduction, function evaluations, and feature retention, our results show that the improved conjugate<br />gradient approach is a reliable and efficient tool for high-quality picture reconstruction. https://cmde.tabrizu.ac.ir/article_21369_8a11c941bf21edf5244ff948e29c871e.pdf