We will suggest in this work a new method for solving L.P.D.Es by using a conversion called as (Albazy Altememe Integral Transform) as indicated by the succeeding integral∶ This transformation method, symbolized by the integral expression, shows notable benefits when dealing with LPDEs, such as constant functions, logarithmic functions, and other typical kinds. We have a conversion that is very successful since it has valuable attributes and outstanding characteristics. Through careful analysis and investigation, we look at the transform's important impact on many functions as well as its practical applications in LPDE solution. Furthermore, This research examines the fundamental concepts and underlying theories of the conversion that is the focus of the investigation. By thoroughly understanding these basic concepts, researchers and practitioners may get insights into the inner workings of the transform and take use of its potential to solve challenging LPDEsBy providing comprehensive explanations, in-depth derivations, and clear illustrations, Our goal is to provide readers with a thorough knowledge of the aforementioned diversion's theoretical underpinnings as well as its practical implementations. This understanding enables academics and practitioners to successfully solve difficult LPDEs by enabling the confident application of the transform in a variety of circumstances. In conclusion, this research introduces a groundbreaking approach for solving LPDEs through the subject of the research. By expanding the existing body of knowledge and offering valuable insights, we contribute to the advancement of the field and provide a valuable resource for those seeking effective techniques to address.

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Albazy Altememe Integral Transform for Solving Some Types of Partial Differential Equations

  • Tuqa Haider Kareem,
  • Ali Hassan Mohammed

摘要

We will suggest in this work a new method for solving L.P.D.Es by using a conversion called as (Albazy Altememe Integral Transform) as indicated by the succeeding integral∶ This transformation method, symbolized by the integral expression, shows notable benefits when dealing with LPDEs, such as constant functions, logarithmic functions, and other typical kinds. We have a conversion that is very successful since it has valuable attributes and outstanding characteristics. Through careful analysis and investigation, we look at the transform's important impact on many functions as well as its practical applications in LPDE solution. Furthermore, This research examines the fundamental concepts and underlying theories of the conversion that is the focus of the investigation. By thoroughly understanding these basic concepts, researchers and practitioners may get insights into the inner workings of the transform and take use of its potential to solve challenging LPDEsBy providing comprehensive explanations, in-depth derivations, and clear illustrations, Our goal is to provide readers with a thorough knowledge of the aforementioned diversion's theoretical underpinnings as well as its practical implementations. This understanding enables academics and practitioners to successfully solve difficult LPDEs by enabling the confident application of the transform in a variety of circumstances. In conclusion, this research introduces a groundbreaking approach for solving LPDEs through the subject of the research. By expanding the existing body of knowledge and offering valuable insights, we contribute to the advancement of the field and provide a valuable resource for those seeking effective techniques to address.