Abstract
In the current paper, we have generalized the concept of one dimensional Shehu transform into two dimensional Shehu transform namely, double Shehu transform (DHT). Further, we have established some main properties and theorems related to the (DHT). To show the efficiency, high accuracy and applicability of the proposed transform, we have implemented the new transform to solve integral equations and partial differential equations.
Highlights
Many problems in the fields of most applied science and engineering encounter double integral equations or partial differential equations describing the physical phenomena [20,21,22]
We have generalized the concept of one dimensional Shehu transform into two dimensional Shehu transform namely, double Shehu transform (DHT)
We have extended the work of [11], to the double Shehu transform (DHT)
Summary
Many problems in the fields of most applied science and engineering encounter double integral equations or partial differential equations describing the physical phenomena [20,21,22]. Solving such equations using single transforms is more difficult than using the double transforms. (HT) is a generalization of Laplace and Sumudu transforms This transform is used to solve both ordinary and partial differential equations.
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