An induction heating apparatus for disassembly or assembly of a first component from a second component of a gas turbine engine, comprising a flexible heating jacket (70,80,90) for wrapping about an outer circumferential surface of a first component of a gas turbine engine, the heating jacket (70,80,90) having: an electrically conductive, flexible cable (71,81,91), having a plurality of loops (72,82,92), the loops (72,82,92) collectively defining a three-dimensional profile that defines relative pitch orientation between adjacent loops (72,82,92), the three-dimensional profile selectively sized to abut against and envelop the first component when wrapped by the jacket (70,80,90); a pair of first and second coil holders respectively coupled to each respective loop (72,82,92) of the cable (71,81,91), for maintaining the respective relative pitch orientation between adjacent loops of the plurality of loops (72,82,92); and a plurality of electrically conductive electrical connectors (74,84,94) interposed between the first and second coil holders, each electrical connector (74,84,94) in a corresponding loop (72,82,92) of the cable (71,81,91) having separable first (76,84A,96) and second (78,84B,98) connector portions respectively conductively coupled in series within the corresponding loop (72,82,92) of the cable (71,81,91); and a power source coupled to the cable (71,81,91) of the heating jacket (70,80,90), for heating the first component when the first (76,84A,96) and second (78,84B,98) connector portions of the plurality of electrical connectors (74,84,94) are respectively coupled to each other, wherein the heating is achieved by passing current through the respective cable loops (72,82,92), so that the first component is heated to a higher temperature than a second component, characterized in that, the plurality of loops (72,82,92) are designed as discrete closed loops (72,82,92), for localized heating about the first component and the second component the induction heating apparatus is configured to selectively vary the pitch spacing between the adjacent loops (72,82,92), for selectively varying locally rate of heat transfer to the first component, and the power source is embodied to vary the applied power to each individual loop (72, 82, 92). an electrically conductive, flexible cable (71,81,91), having a plurality of loops (72,82,92), the loops (72,82,92) collectively defining a three-dimensional profile that defines relative pitch orientation between adjacent loops (72,82,92), the three-dimensional profile selectively sized to abut against and envelop the first component when wrapped by the jacket (70,80,90); a pair of first and second coil holders respectively coupled to each respective loop (72,82,92) of the cable (71,81,91), for maintaining the respective relative pitch orientation between adjacent loops of the plurality of loops (72,82,92); and a plurality of electrically conductive electrical connectors (74,84,94) interposed between the first and second coil holders, each electrical connector (74,84,94) in a corresponding loop (72,82,92) of the cable (71,81,91) having separable first (76,84A,96) and second (78,84B,98) connector portions respectively conductively coupled in series within the corresponding loop (72,82,92) of the cable (71,81,91); and a power source coupled to the cable (71,81,91) of the heating jacket (70,80,90), for heating the first component when the first (76,84A,96) and second (78,84B,98) connector portions of the plurality of electrical connectors (74,84,94) are respectively coupled to each other, wherein the heating is achieved by passing current through the respective cable loops (72,82,92), so that the first component is heated to a higher temperature than a second component, characterized in that, the plurality of loops (72,82,92) are designed as discrete closed loops (72,82,92), for localized heating about the first component and the second component the induction heating apparatus is configured to selectively vary the pitch spacing between the adjacent loops (72,82,92), for selectively varying locally rate of heat transfer to the first component, and the power source is embodied to vary the applied power to each individual loop (72, 82, 92).