The correct answer is option 1, Al-Khwarizmi. Al-Khwarizmi was an Arab scientist who lived during the 9th century. He was a mathematician and astronomer, and his work greatly influenced the development of mathematics in the Islamic world. He is often credited with introducing the Hindu-Arabic numeral system and the concept of the algorithm.

An algorithm is a step-by-step procedure or method for solving a problem or completing a task. Al-Khwarizmi`s most famous work, "Kitab al-Jabr wa al-Muqabala" (Book of Restoration and Balancing), introduced algebra and systematic equations. In this book, he also discussed the use of algorithms to solve mathematical problems.

Ibn al-Haytham, option 2, was another prominent Arab scientist who lived during the 10th and 11th centuries. He made significant contributions to the fields of optics and vision, but he is not known for christening the discipline of algorithms.

Ibn Rushd, option 3, was an Arab philosopher and polymath who lived during the 12th century. While he made important contributions to philosophy and science, he is not associated with the development of algorithms.

Ibn Sina,