Abstract: Boundary value problems arise in several branches of physics, Engineering, Biological sciences, Health sciences and Environmental sciences. The boundary value problems are of three type’s elliptics, parabolic and hyperbolic. These problems can be solved by the variety of methods. To solve these boundary value problems recently many researchers are engaged in applying various types of integral transforms. In this paper, we use recently developed integral transform called as double general integral transform to solve the parabolic boundary value problems.

Keywords: Parabolic boundary value problems, One dimensional heat equation, Double general integral transform.

| DOI: 10.17148/IARJSET.2022.9612