"Some approximate algorithms for variational problems" offers a comprehensive analysis and innovative approaches to solving variational problems. The book is divided into four chapters, each addressing different aspects of computational methods. The first chapter provides an overview of direct and indirect methods for solving variational problems. The second chapter focuses on the convergence of Chebyshev wavelets and derives new, significant properties and formulas that are essential for simplifying calculations. The third chapter presents four algorithms that utilize operational matrices of derivatives and integrals of Chebyshev wavelets. Finally, the fourth chapter summarizes the results and outlines future research directions. This specialized book is aimed at students and professionals in the fields of mathematics and natural sciences who are engaged with variational problems and their solutions.